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The Functional Method and Its Applications
About this Title
E. V. Voronovskaja. Translated by R. P. Boas
Publication: Translations of Mathematical Monographs
Publication Year:
1970; Volume 28
ISBNs: 978-0-8218-1578-6 (print); 978-1-4704-4445-7 (online)
DOI: https://doi.org/10.1090/mmono/028
MathSciNet review: MR0267056
MSC: Primary 26.60; Secondary 41.00
Table of Contents
Front/Back Matter
Chapters
- Introduction
- Segment-Functionals on Polynomials
- Properties of the Norm: Segments of the First and Second Classes
- Families of Extremal Polynomials
- Polynomials of Passport $[n, n, o]$
- Polynomials of Passport $[n, n, 1]$
- Polynomials of Passport $[n, n - 1, 0]$
- Polynomials of Least Deviation for Some Classical Problems
- Best Uniform Approximation of Polynomials and Analytic Functions
- The First Derivative Functional and A. A. Markov’s Problem
- The Trigonometric Functionals $F_{\rho \,{\rm cos}}$ and $F_{\rho \,{\rm sin}}$ and Inequalities for Polynomials in the Complex Plane