Sharp constants of approximation theory. III. Certain polynomial inequalities of different metrics on convex sets-Reference-Cited by-同舟云学术

Sharp constants of approximation theory. III. Certain polynomial inequalities of different metrics on convex sets

Published:2020-04 Issue: Volume:252 Page:105351
ISSN:0021-9045
Container-title:Journal of Approximation Theory
language:en
Short-container-title:Journal of Approximation Theory

Author:

Ganzburg Michael I.

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference35 articles.

1. Lectures on the Theory of Approximation;Akhiezer,1965

2. Nikol’skii inequality between the uniform norm and Lq-norm with ultraspherical weight of algebraic polynomials on an interval;Arestov;Comput. Methods Funct. Theory,2015

3. Generalization of inequalities of S. N. Bernstein and A. A. Markov;Bari;Izv. Akad. Nauk SSSR. Ser. Mat.,1954

4. On the best approximation of continuous functions on the whole real axis by entire functions of given degree;Bernstein;V, Dokl. Akad. Nauk SSSR,1946

5. On entire functions of finite degree of several variables;Bernstein;Dokl. Akad. Nauk SSSR,1948

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