Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomials

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

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  • Author : Robert Gardner
  • Publisher : Academic Press
  • Pages : 304 pages
  • ISBN : 9780128119884
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKExtremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomials

Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials

Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials
  • Author : Robert Gardner,Narendra Govil,Gradimir V. Milovanovic
  • Publisher : Academic Press
  • Release : 15 November 2019
GET THIS BOOKExtremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials

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

Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials

Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials
  • Author : Robert B. Gardner,Narendra K. Govil,Gradimir V. Milovanović
  • Publisher : Academic Press
  • Release : 01 November 2020
GET THIS BOOKExtremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials

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

Approximation Theory

Approximation Theory
  • Author : Narenda Govil,Ram N. Mohapatra,Zuhair Nashed,A. Sharma,J. Szabados
  • Publisher : CRC Press
  • Release : 01 February 2021
GET THIS BOOKApproximation Theory

"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."

Generalized Functions and Convergence

Generalized Functions and Convergence
  • Author : Piotr Antosik,Andrzej Kamiński
  • Publisher : World Scientific
  • Release : 12 September 1990
GET THIS BOOKGeneralized Functions and Convergence

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

Topics in Polynomials

Topics in Polynomials
  • Author : G V Milovanovic,D S Mitrinovic,Th M Rassias
  • Publisher : World Scientific
  • Release : 28 June 1994
GET THIS BOOKTopics in Polynomials

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

Approximation and Computation

Approximation and Computation
  • Author : Walter Gautschi,Giuseppe Mastroianni,Themistocles M. Rassias
  • Publisher : Springer Science & Business Media
  • Release : 20 October 2010
GET THIS BOOKApproximation and Computation

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,

Topics in Polynomials of One and Several Variables and Their Applications

Topics in Polynomials of One and Several Variables and Their Applications
  • Author : Themistocles M. Rassias,H. M. Srivastava
  • Publisher : World Scientific
  • Release : 28 October 1993
GET THIS BOOKTopics in Polynomials of One and Several Variables and Their Applications

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.

Orthogonal Functions

Orthogonal Functions
  • Author : William Jones
  • Publisher : CRC Press
  • Release : 23 December 2020
GET THIS BOOKOrthogonal Functions

"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."

General Inequalities 6

General Inequalities 6
  • Author : Wolfgang Walter
  • Publisher : Birkhäuser
  • Release : 11 November 2013
GET THIS BOOKGeneral Inequalities 6

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

Recent Progress in Inequalities

Recent Progress in Inequalities
  • Author : G.V. Milovanovic
  • Publisher : Springer Science & Business Media
  • Release : 31 January 1998
GET THIS BOOKRecent Progress in Inequalities

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

Handbook of Functional Equations

Handbook of Functional Equations
  • Author : Themistocles M. Rassias
  • Publisher : Springer
  • Release : 18 November 2014
GET THIS BOOKHandbook of Functional Equations

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

Topics in Mathematical Analysis and Applications

Topics in Mathematical Analysis and Applications
  • Author : Themistocles M. Rassias,László Tóth
  • Publisher : Springer
  • Release : 13 October 2014
GET THIS BOOKTopics in Mathematical Analysis and Applications

This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role.

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

Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis
  • Author : Hugh L. Montgomery
  • Publisher : American Mathematical Soc.
  • Release : 28 October 2021
GET THIS BOOKTen Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis

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.