Comparison of the best approximation of holomorphic functions from Hardy space

Journal of Nonlinear Sciences and Applications Pub Date : 2019-03-08 DOI:10.22436/JNSA.012.07.01

F. Abdullayev, V. Savchuk, D. Şi̇mşek

引用次数: 1

Abstract

We compare the best approximations of holomorphic functions in the Hardy space H1 by algebraic polynomials and trigonometric polynomials. Particulary, we establish a class of functions f ∈ H1 for which the best trigonometric approximation do not coincide with the best algebraic approximation.

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Hardy空间中全纯函数最佳逼近的比较

比较了Hardy空间H1中全纯函数的代数多项式和三角多项式的最佳逼近。特别地，我们建立了一类函数f∈H1，其最佳三角逼近与最佳代数逼近并不重合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

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期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.