Extremal Problems And Inequalities Of Markov Bernstein Type For Algebraic Polynomial

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

Author : Robert B. Gardner
Publisher : Elsevier
ISBN 13 : 0128119888
Total Pages : 442 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials by : Robert B. Gardner

Download or read book Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials written by Robert B. Gardner and published by Elsevier. This book was released on 2022-02-15 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Polynomial

Author : Robert B. Gardner
Publisher : Academic Press
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomial by : Robert B. Gardner

Download or read book Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomial written by Robert B. Gardner and published by Academic Press. This book was released on 2022 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Bentley Gardner
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (133 download)

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Book Synopsis Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomial by : Robert Bentley Gardner

Download or read book Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomial written by Robert Bentley Gardner and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topics in Polynomials

Author : G. V. Milovanovi?
Publisher : World Scientific
ISBN 13 : 9789810204990
Total Pages : 842 pages
Book Rating : 4.2/5 (49 download)

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Book Synopsis Topics in Polynomials by : G. V. Milovanovi?

Download or read book Topics in Polynomials written by G. V. Milovanovi? and published by World Scientific. This book was released on 1994 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

Author : Robert B. Gardner
Publisher : Academic Press
ISBN 13 : 012812007X
Total Pages : 444 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials by : Robert B. Gardner

Download or read book Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials written by Robert B. Gardner and published by Academic Press. This book was released on 2022-02-10 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Applies Markov-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, and entire functions of exponential type Contains exhaustive references with more than five hundred citations to articles and books Features methods to solve inverse problems across approximation theory Includes open problems for further research

Extremal Properties of Polynomials and Splines

Author : Nikolaĭ Pavlovich Korneĭchuk
Publisher : Nova Publishers
ISBN 13 : 9781560723615
Total Pages : 444 pages
Book Rating : 4.7/5 (236 download)

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Book Synopsis Extremal Properties of Polynomials and Splines by : Nikolaĭ Pavlovich Korneĭchuk

Download or read book Extremal Properties of Polynomials and Splines written by Nikolaĭ Pavlovich Korneĭchuk and published by Nova Publishers. This book was released on 1996 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extremal Properties of Polynomials & Splines

Topics In Polynomials: Extremal Problems, Inequalities, Zeros

Author : Gradimir V Milovanovic
Publisher : World Scientific
ISBN 13 : 9814506486
Total Pages : 844 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Topics In Polynomials: Extremal Problems, Inequalities, Zeros by : Gradimir V Milovanovic

Download or read book Topics In Polynomials: Extremal Problems, Inequalities, Zeros written by Gradimir V Milovanovic and published by World Scientific. This book was released on 1994-06-28 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Polynomials and Polynomial Inequalities

Author : Peter Borwein
Publisher : Springer Science & Business Media
ISBN 13 : 1461207932
Total Pages : 491 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Polynomials and Polynomial Inequalities by : Peter Borwein

Download or read book Polynomials and Polynomial Inequalities written by Peter Borwein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Müntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality round off the text. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.

Approximation Theory

Author : Narenda Govil
Publisher : CRC Press
ISBN 13 : 1000110184
Total Pages : 548 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Approximation Theory by : Narenda Govil

Download or read book Approximation Theory written by Narenda Govil and published by CRC Press. This book was released on 2021-01-31 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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: Memorial Volume For Professor Jan Mikusinski

Author : Piotr Antosik
Publisher : World Scientific
ISBN 13 : 9814611719
Total Pages : 398 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Generalized Functions And Convergence: Memorial Volume For Professor Jan Mikusinski by : Piotr Antosik

Download or read book Generalized Functions And Convergence: Memorial Volume For Professor Jan Mikusinski written by Piotr Antosik and published by World Scientific. This book was released on 1990-09-12 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analytic and Geometric Inequalities and Applications

Author : Themistocles RASSIAS
Publisher : Springer Science & Business Media
ISBN 13 : 9401145776
Total Pages : 377 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Analytic and Geometric Inequalities and Applications by : Themistocles RASSIAS

Download or read book Analytic and Geometric Inequalities and Applications written by Themistocles RASSIAS and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Recent Progress in Inequalities

Author : G.V. Milovanovic
Publisher : Springer Science & Business Media
ISBN 13 : 9401590869
Total Pages : 518 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Recent Progress in Inequalities by : G.V. Milovanovic

Download or read book Recent Progress in Inequalities written by G.V. Milovanovic and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topics in Polynomials

Author : Gradimir V. Milovanovic
Publisher :
ISBN 13 :
Total Pages : 821 pages
Book Rating : 4.:/5 (989 download)

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Book Synopsis Topics in Polynomials by : Gradimir V. Milovanovic

Download or read book Topics in Polynomials written by Gradimir V. Milovanovic and published by . This book was released on 1994 with total page 821 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Approximation and Computation

Author : Walter Gautschi
Publisher : Springer Science & Business Media
ISBN 13 : 1441965947
Total Pages : 482 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Approximation and Computation by : Walter Gautschi

Download or read book Approximation and Computation written by Walter Gautschi and published by Springer Science & Business Media. This book was released on 2010-10-20 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Orthogonal Functions

Author : William Jones
Publisher : CRC Press
ISBN 13 : 100011712X
Total Pages : 437 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Orthogonal Functions by : William Jones

Download or read book Orthogonal Functions written by William Jones and published by CRC Press. This book was released on 2020-12-22 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."

Handbook of Functional Equations

Author : Themistocles M. Rassias
Publisher : Springer
ISBN 13 : 1493912461
Total Pages : 555 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Handbook of Functional Equations by : Themistocles M. Rassias

Download or read book Handbook of Functional Equations written by Themistocles M. Rassias and published by Springer. This book was released on 2014-11-18 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Progress in Approximation Theory and Applicable Complex Analysis

Author : Narendra Kumar Govil
Publisher : Springer
ISBN 13 : 331949242X
Total Pages : 541 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Progress in Approximation Theory and Applicable Complex Analysis by : Narendra Kumar Govil

Download or read book Progress in Approximation Theory and Applicable Complex Analysis written by Narendra Kumar Govil and published by Springer. This book was released on 2017-04-03 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies. Graduate students, postdocs, and researchers in mathematics, specifically those working in the theory of functions, approximation theory, geometric function theory, and optimization will find new insights as well as a guide to advanced topics. The chapters in this book are grouped into four themes; the first, polynomials (Chapters 1 –8), includes inequalities for polynomials and rational functions, orthogonal polynomials, and location of zeros. The second, inequalities and extremal problems are discussed in Chapters 9 –13. The third, approximation of functions, involves the approximants being polynomials, rational functions, and other types of functions and are covered in Chapters 14 –19. The last theme, quadrature, cubature and applications, comprises the final three chapters and includes an article coauthored by Rahman. This volume serves as a memorial volume to commemorate the distinguished career of Qazi Ibadur Rahman (1934–2013) of the Université de Montréal. Rahman was considered by his peers as one of the prominent experts in analytic theory of polynomials and entire functions. The novelty of his work lies in his profound abilities and skills in applying techniques from other areas of mathematics, such as optimization theory and variational principles, to obtain final answers to countless open problems.