# Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomial

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- Author : Robert B. Gardner
- Publisher : Academic Press
- Release : 05 February 2023
- ISBN : OCLC:1305062063
- Page : 103 pages
- Rating : 4.5/5 from 103 voters

## Download Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomial in PDF, Epub and Kindle

Inequalities for polynomials and their derivatives are very important in many areas of mathematics, as well as in other computational and applied sciences; in particular they play a fundamental role in approximation theory. Here, not only Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials, but also ones for trigonometric polynomials and related functions, are treated in an integrated and comprehensive style in different metrics, both on general classes of polynomials and on important restrictive classes of polynomials. Primarily for graduate and PhD students, this book is useful for any researchers exploring problems which require derivative estimates. It is particularly useful for those studying inverse problems in approximation theory.

### Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomial

- Author : Robert B. Gardner,Narendra K. Govil,Gradimir V. Milovanovic
- Publisher : Academic Press
- Release Date : 2022
- ISBN : OCLC:1305062063

Inequalities for polynomials and their derivatives are very important in many areas of mathematics, as well as in other computational and applied sciences; in particular they play a fundamental role in approximation theory. Here, not only Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials, but also ones for trigonometric polynomials and related functions, are treated in an integrated and comprehensive style in different metrics, both on general classes of polynomials and on important restrictive classes of polynomials. Primarily

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

- Author : Robert B. Gardner,Narendra K. Govil,Gradimir V. Milovanovic
- Publisher : Elsevier
- Release Date : 2022-02-15
- ISBN : 9780128119884

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 Polynomial

- Author : Robert B. Gardner,Narendra K. Govil,Gradimir V. Milovanovic
- Publisher : Academic Press
- Release Date : 2022-03-14
- ISBN : 9780128120071

Inequalities for polynomials and their derivatives are very important in many areas of mathematics, as well as in other computational and applied sciences; in particular they play a fundamental role in approximation theory. Here, not only Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials, but also ones for trigonometric polynomials and related functions, are treated in an integrated and comprehensive style in different metrics, both on general classes of polynomials and on important restrictive classes of polynomials. Primarily

### Approximation Theory

- Author : Narenda Govil,Ram N. Mohapatra,Zuhair Nashed,A. Sharma,J. Szabados
- Publisher : CRC Press
- Release Date : 2021-02-01
- ISBN : 9781000146035

"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

- Author : G V Milovanovic,D S Mitrinovic,Th M Rassias
- Publisher : World Scientific
- Release Date : 1994-06-28
- ISBN : 9789814506489

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

### Generalized Functions and Convergence

- Author : Piotr Antosik,Andrzej Kamiński
- Publisher : World Scientific
- Release Date : 1990-09-12
- ISBN : 9789814611718

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 of One and Several Variables and Their Applications

- Author : Themistocles M. Rassias,H. M. Srivastava
- Publisher : World Scientific
- Release Date : 1993
- ISBN : 9810206143

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

- Author : Walter Gautschi,Giuseppe Mastroianni,Themistocles M. Rassias
- Publisher : Springer Science & Business Media
- Release Date : 2010-10-20
- ISBN : 9781441965943

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,

### Analytic and Geometric Inequalities and Applications

- Author : Themistocles RASSIAS,Hari M. Srivastava
- Publisher : Springer Science & Business Media
- Release Date : 2012-12-06
- ISBN : 9789401145770

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

### Recent Progress in Inequalities

- Author : G.V. Milovanovic
- Publisher : Springer Science & Business Media
- Release Date : 2013-03-14
- ISBN : 9789401590860

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

### General Inequalities 6

- Author : Wolfgang Walter
- Publisher : Birkhäuser
- Release Date : 2013-11-11
- ISBN : 9783034875653

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

### Orthogonal Functions

- Author : William Jones
- Publisher : CRC Press
- Release Date : 2020-12-22
- ISBN : 9781000153675

"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."

### Generalized Functions and Convergence

- Author : Piotr Antosik,Andrzej Kamiński
- Publisher : World Scientific Publishing Company Incorporated
- Release Date : 1990
- ISBN : UCAL:B4406622

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.

### Handbook of Functional Equations

- Author : Themistocles M. Rassias
- Publisher : Springer
- Release Date : 2014-11-18
- ISBN : 9781493912469

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

### Mathematical Reviews

- Author : Anonim
- Publisher : Unknown
- Release Date : 2003
- ISBN : UVA:X006180631