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http://elar.urfu.ru/handle/10995/93085
Title: | On the Best Approximation of the Differentiation Operator |
Authors: | Arestov, V. V. |
Issue Date: | 2015 |
Publisher: | N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences Ural Federal University named after the first President of Russia B.N. Yeltsin |
Citation: | Arestov V. V. On the Best Approximation of the Differentiation Operator / V. V. Arestov. — DOI 10.15826/umj.2015.1.002. — Text : electronic // Ural Mathematical Journal. — 2015. — Volume 1. — № 1. — P. 20-29. |
Abstract: | In this paper we give a solution of the problem of the best approximation in the uniform norm of the differentiation operator of order k by bounded linear operators in the class of functions with the property that the Fourier transforms of their derivatives of order n (0 < k <n) are finite measures. We also determine the exact value of the best constant in the corresponding inequality for derivatives. |
Keywords: | DIFFERENTIATION OPERATOR STECHKIN'S PROBLEM KOLMOGOROV INEQUALITY |
URI: | http://elar.urfu.ru/handle/10995/93085 |
Access: | Creative Commons Attribution License |
License text: | https://creativecommons.org/licenses/by/4.0/ |
ISSN: | 2414-3952 |
DOI: | 10.15826/umj.2015.1.002 |
Origin: | Ural Mathematical Journal. 2015. Volume 1. № 1 |
Appears in Collections: | Ural Mathematical Journal |
Files in This Item:
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umj_2015_1_1_20-29.pdf | 160,13 kB | Adobe PDF | View/Open |
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