Skip to main content

Extremal Problems And Inequalities Of Markov Bernstein Type For Algebraic Polynomials

In Order to Read Online or Download Extremal Problems And Inequalities Of Markov Bernstein Type For Algebraic Polynomials Full eBooks in PDF, EPUB, Tuebl and Mobi you need to create a Free account. Get any books you like and read everywhere you want. Fast Download Speed ~ Commercial & Ad Free. We cannot guarantee that every book is in the library!

Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomials

Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomials Book
Author : Robert Gardner,Narendra Govil,Gradimir V. Milovanovic
Publisher : Academic Press
Release : 2019-11-15
ISBN : 9780128119884
Language : En, Es, Fr & De

GET BOOK

Book Description :

Bernstein-type Inequalities for Polynomials and Rational Functions is an integrated, powerful and clear presentation of the emergent field in approximation theory. It presents a unified description of solution norms relevant to complex polynomials, rational functions and exponential functions. Primarily for graduate students and first year PhDs, this book is useful for any researcher exploring problems which require derivative estimates. It is particularly useful for those studying inverse problems in approximation theory. Applies Bernstein-type Inequalities to any problem where derivative estimates are necessary Presents complex math in a clean and simple way, progressing readers from polynomials into rational functions Contains exhaustive references with thousands of citations to articles and books Features methods to solve inverse problems across approximation theory Includes open problems for further research

Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomials

Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomials Book
Author : Robert B. Gardner,Narendra K. Govil,Gradimir V. Milovanović
Publisher : Academic Press
Release : 2020-11-01
ISBN : 012812007X
Language : En, Es, Fr & De

GET BOOK

Book Description :

Bernstein-type Inequalities for Polynomials and Rational Functions is an integrated, powerful and clear presentation of the emergent field in approximation theory. It presents a unified description of solution norms relevant to complex polynomials, rational functions and exponential functions. Primarily for graduate students and first year PhDs, this book is useful for any researcher exploring problems which require derivative estimates. It is particularly useful for those studying inverse problems in approximation theory. Applies Bernstein-type Inequalities to any problem where derivative estimates are necessary Presents complex math in a clean and simple way, progressing readers from polynomials into rational functions Contains exhaustive references with thousands of citations to articles and books Features methods to solve inverse problems across approximation theory Includes open problems for further research

Approximation Theory

Approximation Theory Book
Author : Narenda Govil,Ram N. Mohapatra,Zuhair Nashed,A. Sharma,J. Szabados
Publisher : CRC Press
Release : 2021-02-01
ISBN : 1000146030
Language : En, Es, Fr & De

GET BOOK

Book Description :

"Contains the contributions of 45 internationally distinguished mathematicians covering all areas of approximation theory-written in honor of the pioneering work of Arun K. Varma to the fields of interpolation and approximation of functions, including Birhoff interpolation and approximation by spline functions."

Topics in Polynomials

Topics in Polynomials Book
Author : G V Milovanovic,D S Mitrinovic,Th M Rassias
Publisher : World Scientific
Release : 1994-06-28
ISBN : 9814506486
Language : En, Es, Fr & De

GET BOOK

Book Description :

The book contains some of the most important results on the analysis of polynomials and their derivatives. Besides the fundamental results which are treated with their proofs, the book also provides an account of the most recent developments concerning extremal properties of polynomials and their derivatives in various metrics with an extensive analysis of inequalities for trigonometric sums and algebraic polynomials, as well as their zeros. The final chapter provides some selected applications of polynomials in approximation theory and computer aided geometric design (CAGD). One can also find in this book several new research problems and conjectures with sufficient information concerning the results obtained to date towards the investigation of their solution. Contents:PrefaceGeneral Concept of Algebraic PolynomialsSelected Polynomial InequalitiesZeros of PolynomialsInequalities Connected with Trigonometric SumsExtremal Problems for PolynomialsExtremal Problems of Markov-Bernstein TypeSome Applications of PolynomialsSymbol IndexName IndexSubject Index Readership: Mathematicians and mathematical physicists. keywords:Algebraic Polynomials;Trigonometric Polynomials;Zeros;Extremal Problems;Trigonometric Sums;Positivity and Monotonicity;Distribution of Zeros;Bounds for Polynomial Zeros;Incomplete Polynomials;Polynomials with Minimal Norm;Markov-Bernstein Inequalities;Approximation;Symmetric Functions;Orthogonal Polynomials;Nonnegative Polynomials “The topics are tastefully selected and the results are easy to find. Although this book is not really planned as a textbook to teach from, it is excellent for self-study or seminars. This is a very useful reference book with many results which have not appeared in a book form yet. It is an important addition to the literature.” Journal of Approximation Theory “I find the book to be well written and readable. The authors have made an attempt to present the material in an integrated and self-contained fashion and, in my opinion, they have been greatly successful. The book would be useful not only for the specialist mathematician, but also for those researchers in the applied and computational sciences who use polynomials as a tool.” Mathematical Reviews “This is a remarkable book, offering a cornucopia of results, all connected by their involvement with polynomials. The scope of the volume can be conveyed by citing some statistics: there are 821 pages, 7 chapters, 20 sections, 108 subsections, 95 pages of references (distributed throughout the book), a name index of 16 pages, and a subject index of 19 pages … The book is written in a gentle style: one can open it anywhere and begin to understand, without encountering unfamiliar notation and terminology. It is strongly recommended to individuals and to libraries.” Mathematics of Computation “This book contains some of the most important results on the analysis of polynomials and their derivatives … is intended, not only for the specialist mathematician, but also for those researchers in the applied sciences who use polynomials as a tool.” Sever S Dragomir “This is a well-written book on a widely useful topic. It is strongly recommended not only to the mathematical specialist, but also to all those researchers in the applied and computational sciences who make frequent use of polynomials as a tool. Of course, libraries will also benefit greatly by including this book in their cherished collection.” Mathematics Abstracts “There is no doubt that this is a very useful work compiling enormous researches carried out on the subject … This is a well-written book on a widely useful topic.” Zentralblatt für Mathematik

Generalized Functions and Convergence

Generalized Functions and Convergence Book
Author : Piotr Antosik,Andrzej Kamiński
Publisher : World Scientific
Release : 1990-09-12
ISBN : 9814611719
Language : En, Es, Fr & De

GET BOOK

Book Description :

The conference was devoted to the memory of the late Professor Jan Mikusinski. The proceedings is divided into three parts. The first one contains biographical materials and memoirs about Professor Mikusinski and his work. The second part is devoted to the theory of generalized functions and the third to convergence structures. Contents:On Uniform Convergence of the Inner Product of Sequences (P Antosik et al)Decompositions of F-spaces into spaces with Properties K, N or k (J Burzyk)Finite Integral Transforms for Non-Local Boundary Value Problems (I H Dimovski & R I Petrova) On the Neutrix Convolution Product xs * xλ+ (B Fisher)On the Wiener-Laguerre Transform of Generalized Functions (H J Glaeske)On Distributional Solutions of the Generalized Entropy Equation (A Kaminski)On a Representation of the Algebra o of Mikusinski Operators (C Klis)Semilinear Wave Equations with Rough Initial Data: Generalized Solutions (M Oberguggenberger)Prodigious Mystery of Genuine Analysis (D Przeworska-Rolewicz)Asymtotic Bounds for the Distributional Stieltjes Transforms (A Takaci)On Tensor Product and Convolution of Generalized Functions of Gelfand-Shilov Type (J Uryga)Multidimensional Tauberian Theorems for Distributions (V S Vladimirov et al)and others Readership: Mathematicians and mathematical physicists.

Topics in Polynomials of One and Several Variables and Their Applications

Topics in Polynomials of One and Several Variables and Their Applications Book
Author : Themistocles M. Rassias,H. M. Srivastava
Publisher : World Scientific
Release : 1993
ISBN : 9789810206147
Language : En, Es, Fr & De

GET BOOK

Book Description :

This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications. It is dedicated to P L Chebyshev, a leading Russian mathematician.

Approximation and Computation

Approximation and Computation Book
Author : Walter Gautschi,Giuseppe Mastroianni,Themistocles M. Rassias
Publisher : Springer Science & Business Media
Release : 2010-10-20
ISBN : 1441965947
Language : En, Es, Fr & De

GET BOOK

Book Description :

Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences. This collection of contributed chapters, dedicated to renowned mathematician Gradimir V. Milovanović, represent the recent work of experts in the fields of approximation theory and numerical analysis. These invited contributions describe new trends in these important areas of research including theoretic developments, new computational algorithms, and multidisciplinary applications. Special features of this volume: - Presents results and approximation methods in various computational settings including: polynomial and orthogonal systems, analytic functions, and differential equations. - Provides a historical overview of approximation theory and many of its subdisciplines; - Contains new results from diverse areas of research spanning mathematics, engineering, and the computational sciences. "Approximation and Computation" is intended for mathematicians and researchers focusing on approximation theory and numerical analysis, but can also be a valuable resource to students and researchers in the computational and applied sciences.

Analytic and Geometric Inequalities and Applications

Analytic and Geometric Inequalities and Applications Book
Author : Themistocles RASSIAS,Hari M. Srivastava
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 9401145776
Language : En, Es, Fr & De

GET BOOK

Book Description :

Analytic and Geometric Inequalities and Applications is devoted to recent advances in a variety of inequalities of Mathematical Analysis and Geo metry. Subjects dealt with in this volume include: Fractional order inequalities of Hardy type, differential and integral inequalities with initial time differ ence, multi-dimensional integral inequalities, Opial type inequalities, Gruss' inequality, Furuta inequality, Laguerre-Samuelson inequality with extensions and applications in statistics and matrix theory, distortion inequalities for ana lytic and univalent functions associated with certain fractional calculus and other linear operators, problem of infimum in the positive cone, alpha-quasi convex functions defined by convolution with incomplete beta functions, Chebyshev polynomials with integer coefficients, extremal problems for poly nomials, Bernstein's inequality and Gauss-Lucas theorem, numerical radii of some companion matrices and bounds for the zeros of polynomials, degree of convergence for a class of linear operators, open problems on eigenvalues of the Laplacian, fourth order obstacle boundary value problems, bounds on entropy measures for mixed populations as well as controlling the velocity of Brownian motion by its terminal value. A wealth of applications of the above is also included. We wish to express our appreciation to the distinguished mathematicians who contributed to this volume. Finally, it is our pleasure to acknowledge the fine cooperation and assistance provided by the staff of Kluwer Academic Publishers. June 1999 Themistocles M. Rassias Hari M.

General Inequalities 6

General Inequalities 6 Book
Author : Wolfgang Walter
Publisher : Birkhäuser
Release : 2013-11-11
ISBN : 3034875657
Language : En, Es, Fr & De

GET BOOK

Book Description :

The sixthInternational Conference on General Inequalities was held from Dec. 9 to Dec. 15, 1990, at the Mathematisches Forschungsinstitut Oberwolfach (Black Fa rest, Germany). The organizing committee was composed of W.N. Everitt (Birm ingham), L. Losonczi (Debrecen) and W. Walter (Karlsruhe). Dr. A. Kovacec ( Coimbra) served cheerfully and efficiently as secretary of the meeting. The con ference was attended by 44 participants from 20 countries. Yet again the importance of inequalities in both pure and applied mathematics was made evident from the wide range of interests of the individual participants, and from the wealth of new results announced. New inequalities were presented in the usual spread of the subject areas now expected for these meetings: Classical and functional analysis, existence and boundary value problems for both ordinary and partial differential equations, with special contributions to computer science, quantum holography and error analysis. More strongly than ever, the role played by modern electronic computers was made clear in testing out and prohing into the validity and structure of certain inequalities. Here the computer acts not only for numerical calculations of great complexity, but also in symbolic manipulation of complex finite structures. Prob lems in inequalities which even a few years ago were intractable, now fall to solution or receive direct and positive guidance as a result of computer applications. The interface between finite and infinite structures in mathematics and the versatility of modern computers is weil developed in the subject of general inequalities.

Orthogonal Functions

Orthogonal Functions Book
Author : William Jones
Publisher : CRC Press
Release : 2020-12-23
ISBN : 1000153673
Language : En, Es, Fr & De

GET BOOK

Book Description :

"Oulines an array of recent work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal functions, moment theory, and integral transforms. Describes links between continued fractions. Pade approximation, special functions, and Gaussian quadrature."

Recent Progress in Inequalities

Recent Progress in Inequalities Book
Author : G.V. Milovanovic
Publisher : Springer Science & Business Media
Release : 1998-01-31
ISBN : 9780792348450
Language : En, Es, Fr & De

GET BOOK

Book Description :

This volume is dedicated to the late Professor Dragoslav S. Mitrinovic(1908-1995), one of the most accomplished masters in the domain of inequalities. Inequalities are to be found everywhere and play an important and significant role in almost all subjects of mathematics as well as in other areas of sciences. Professor Mitrinovic used to say: `There are no equalities, even in human life inequalities are always encountered.' This volume provides an extensive survey of the most current topics in almost all subjects in the field of inequalities, written by 85 outstanding scientists from twenty countries. Some of the papers were presented at the International Memorial Conference dedicated to Professor D.S. Mitrinovic, which was held at the University of Nis, June 20-22, 1996. Audience: This book will be of great interest to researchers in real, complex and functional analysis, special functions, approximation theory, numerical analysis and computation, and other fields, as well as to graduate students requiring the most up-to-date results.

Generalized Functions and Convergence

Generalized Functions and Convergence Book
Author : Piotr Antosik,Andrzej Kamiński
Publisher : World Scientific Publishing Company Incorporated
Release : 1990
ISBN : 0987650XXX
Language : En, Es, Fr & De

GET BOOK

Book Description :

The conference was devoted to the memory of the late Professor Jan Mikusinski. The proceedings is divided into three parts. The first one contains biographical materials and memoirs about Professor Mikusinski and his work. The second part is devoted to the theory of generalized functions and the third to convergence structures.

Mathematical Reviews

Mathematical Reviews Book
Author : Anonim
Publisher : Unknown
Release : 2003
ISBN : 0987650XXX
Language : En, Es, Fr & De

GET BOOK

Book Description :

Download Mathematical Reviews book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Handbook of Functional Equations

Handbook of Functional Equations Book
Author : Themistocles M. Rassias
Publisher : Springer
Release : 2014-11-18
ISBN : 1493912461
Language : En, Es, Fr & De

GET BOOK

Book Description :

As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), “There are three reasons for the study of inequalities: practical, theoretical, and aesthetic.” On the aesthetic aspects, he said, “As has been pointed out, beauty is in the eye of the beholder. However, it is generally agreed that certain pieces of music, art, or mathematics are beautiful. There is an elegance to inequalities that makes them very attractive.” The content of the Handbook focuses mainly on both old and recent developments on approximate homomorphisms, on a relation between the Hardy–Hilbert and the Gabriel inequality, generalized Hardy–Hilbert type inequalities on multiple weighted Orlicz spaces, half-discrete Hilbert-type inequalities, on affine mappings, on contractive operators, on multiplicative Ostrowski and trapezoid inequalities, Ostrowski type inequalities for the Riemann–Stieltjes integral, means and related functional inequalities, Weighted Gini means, controlled additive relations, Szasz–Mirakyan operators, extremal problems in polynomials and entire functions, applications of functional equations to Dirichlet problem for doubly connected domains, nonlinear elliptic problems depending on parameters, on strongly convex functions, as well as applications to some new algorithms for solving general equilibrium problems, inequalities for the Fisher’s information measures, financial networks, mathematical models of mechanical fields in media with inclusions and holes.

Probability Theory Function Theory Mechanics

Probability Theory  Function Theory  Mechanics Book
Author : I︠U︡riĭ Vasilʹevich Prokhorov,Jurij V. Prochorov
Publisher : American Mathematical Soc.
Release : 1990
ISBN : 9780821831328
Language : En, Es, Fr & De

GET BOOK

Book Description :

This is a translation of the fifth and final volume in a special cycle of publications in commemoration of the 50th anniversary of the Steklov Mathematical Institute of the Academy of Sciences in the USSR. The purpose of the special cycle was to present surveys of work on certain important trends and problems pursued at the Institute. Because the choice of the form and character of the surveys were left up to the authors, the surveys do not necessarily form a comprehensive overview, but rather represent the authors' perspectives on the important developments. The survey papers in this collection range over a variety of areas, including - probability theory and mathematical statistics, metric theory of functions, approximation of functions, descriptive set theory, spaces with an indefinite metric, group representations, mathematical problems of mechanics and spaces of functions of several real variables and some applications.

Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis

Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis Book
Author : Hugh L. Montgomery
Publisher : American Mathematical Soc.
Release : 2021-10-22
ISBN : 9780821889282
Language : En, Es, Fr & De

GET BOOK

Book Description :

This book contains lectures presented by Hugh L. Montgomery at the NSF-CBMS Regional Conference held at Kansas State University in May 1990. The book focuses on important topics in analytic number theory that involve ideas from harmonic analysis. One valuable aspect of the book is that it collects material that was either unpublished or that had appeared only in the research literature. This book would be an excellent resource for harmonic analysts interested in moving into research in analytic number theory. In addition, it is suitable as a textbook in an advanced graduate topics course in number theory.

Transactions of the American Mathematical Society

Transactions of the American Mathematical Society Book
Author : American Mathematical Society
Publisher : Unknown
Release : 1995
ISBN : 0987650XXX
Language : En, Es, Fr & De

GET BOOK

Book Description :

Download Transactions of the American Mathematical Society book written by American Mathematical Society, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Frontiers in Interpolation and Approximation

Frontiers in Interpolation and Approximation Book
Author : N. K. Govil,H. N. Mhaskar,Ram N. Mohapatra,Zuhair Nashed,J. Szabados
Publisher : CRC Press
Release : 2006-07-20
ISBN : 1420011383
Language : En, Es, Fr & De

GET BOOK

Book Description :

Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis. Written by authoritative international mathematicians, this book presents many important results in classical analysis, wavelets, and interpolation theory. Some topics covered are Markov inequalities for multivariate polynomials, analogues of Chebyshev and Bernstein inequalities for multivariate polynomials, various measures of the smoothness of functions, and the equivalence of Hausdorff continuity and pointwise Hausdorff-Lipschitz continuity of a restricted center multifunction. The book also provides basic facts about interpolation, discussing classes of entire functions such as algebraic polynomials, trigonometric polynomials, and nonperiodic transcendental entire functions. Containing both original research and comprehensive surveys, this book provides researchers and graduate students with important results of interpolation and approximation.

Approximation of Functions by Polynomials and Splines

Approximation of Functions by Polynomials and Splines Book
Author : S. B. Stechkin
Publisher : American Mathematical Soc.
Release : 1981
ISBN : 9780821830499
Language : En, Es, Fr & De

GET BOOK

Book Description :

Download Approximation of Functions by Polynomials and Splines book written by S. B. Stechkin, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

General Inequalities

General Inequalities     Book
Author : Anonim
Publisher : Unknown
Release : 1990
ISBN : 0987650XXX
Language : En, Es, Fr & De

GET BOOK

Book Description :

Download General Inequalities book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.