Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials by Robert B. Gardner, Paperback | Indigo Chapters

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 onlyExtremal 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 necessaryPresents complex math in a clean and simple way, progressing readers from polynomials into rational functions, and entire functions of exponential typeContains exhaustive references with more than five hundred citations to articles and booksFeatures methods to solve inverse problems across approximation theoryIncludes open problems for further research | Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials by Robert B. Gardner, Paperback | Indigo Chapters