广义Jacobi- weierstrass算子和Jacobi展开。

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-06-28 DOI:10.1186/s13660-018-1747-2

José A Adell, Jorge Bustamante, Juan J Merino, José M Quesada

引用次数: 0

摘要

在广义Jacobi- weierstrass算子的基础上，给出了与Jacobi展开相关的若干k泛函的实现。文中还考虑了算子的分数次幂以及有关同时逼近和Nikolskii-Stechkin型不等式的结果。

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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Generalized Jacobi-Weierstrass operators and Jacobi expansions.

We present a realization for some K-functionals associated with Jacobi expansions in terms of generalized Jacobi-Weierstrass operators. Fractional powers of the operators as well as results concerning simultaneous approximation and Nikolskii-Stechkin type inequalities are also considered.

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来源期刊

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.