Approximation Theorems in Weighted Lebesgue Spaces with Variable Exponent

被引：1

作者：

Testici, Ahmet ^{[1
]}

机构：

[1] Balikesir Univ, Dept Math, TR-10145 Balikesir, Turkey

来源：

FILOMAT | 2021年 / 35卷 / 02期

关键词：

  Vallé e-Poussin mean; simultaneous theorem; direct theorem; inverse theorem; Muckenhoupt weight; TRIGONOMETRIC APPROXIMATION; SOBOLEV SPACES; INVERSE;

D O I：

10.2298/FIL2102561T

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, approximation properties of de la Vallee-Poussin means are investigated in weighted Lebesgue spaces with variable exponent where weight function belongs to Muckenhoupt class. For this purpose direct, inverse and simultaneous theorems of approximation theory are proved and constructive characterizations of functions are obtained in weighted Lebesgue spaces with variable exponent.

引用

页码：561 / 577

页数：17

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