eBook - ePub
Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials
- 442 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials
About this book
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
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Information
Table of contents
- Title of Book
- Cover image
- Title page
- Table of Contents
- Front Matter
- Copyright
- Dedication
- About the authors
- Preface
- Chapter 1 History and introduction: classical Markov–Bernstein inequalities
- Chapter 2 Different types of Bernstein inequalities
- Chapter 3 Extremal problems of Markov–Bernstein type in integral norms
- Chapter 4 Bernstein-type inequalities for polynomials with restricted zeros
- Chapter 5 Bernstein-type inequalities in the LrLr norm
- Chapter 6 Bernstein-type inequalities for polar derivatives of polynomials
- Bibliography
- Author index
- Subject index
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Yes, you can access Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials by Robert B. Gardner,Narendra K. Govil,Gradimir V. Milovanović in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over 1.5 million books available in our catalogue for you to explore.