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

Erscheinungsjahr 2022
ISBN: 978-0-12-811988-4
Verlag: Elsevier Science Publishing Co Inc

Buch, Englisch, 442 Seiten, Format (B × H): 152 mm x 228 mm, Gewicht: 708 g

Reihe: Mathematical Analysis and its Applications

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.

Zielgruppe

<p>Graduate students and 1<SUP>st</SUP> year PhDs working in mathematical analysis and approximation theory, especially in geometry of polynomials and complex approximation.</p>

Autoren/Hrsg.

Gardner, Robert B.

Govil, Narendra K.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen

Über Autor(innen)

Gardner, Robert B.
Robert Gardner is a tenured Professor of Mathematics and Statistics at East Tennessee State University specializing in Bernstein-type inequalities. He has co-authored/co-edited two books, including Real Analysis with an Introduction to Wavelets and Applications that was published by Elsevier in 2005.

Govil, Narendra K.
Narendra K. Govil is Professor Emeritus in the Department of Mathematics and Statistics at Auburn University, from where he retired as Professor, in 2020. He received his M.Sc. from Aligarh Muslim University, India and Ph.D. from the University of Montreal, Canada. He is a Fellow of the National Academy of Sciences, India and has been Alumni Professor in Department of Mathematics and Statistics at Auburn University. Before joining Auburn in 1983, he was a Professor at Indian Institute of Technology (IIT), New Delhi, India. He is a researcher in Complex Analysis and Approximation Theory, and has written a large number of papers in subjects related to Bernstein-type Inequalities, Geometry of the Zeros of Polynomials, Special Functions, and Wavelets. He is presently serving as Editor/Associate Editor of several journals, and has co-authored/co-edited six books including Progress in Approximation Theory and Applicable Complex Analysis, published by Springer in 2017.