Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials
(Mathematical Analysis and its Applications)
by Robert B. Gardner, Narendra K. Govil, Ram Mohapatra, and Gradimir V. Milovanović
- 1 Want to read
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.
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Applies Bernstein-type Inequalities to any problem where derivative estimates are necessary
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Presents complex math in a clean and simple way, progressing readers from polynomials into rational functions
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Contains exhaustive references with thousands of citations to articles and books
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Features methods to solve inverse problems across approximation theory
- Includes open problems for further research
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| Edition | Availability |
|---|---|
1
Bernstein-Type Inequalities for Polynomials and Rational Functions
2020, Elsevier Science & Technology
in English
0128119888 9780128119884
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2
Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials: (Mathematical Analysis and its Applications)
November 15, 2019; 2022 [reprint], San Diego: Elsevier Science & Technology
Paperback
in English
- First edition
012812007X 9780128120071
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Book Details
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Edition Notes
Contains bibliographical references [from p.391-411] and index [p.413-424].
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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.
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| January 11, 2023 | Edited by Kaustubh Chakraborty | Corrected the title of the book |
| January 11, 2023 | Edited by Kaustubh Chakraborty | Corrected the title of the book and updated other informations regarding the book. |
| May 14, 2020 | Created by BWBImportBot | import new book |