Approximation by integral functions of finite degree in variable exponent Lebesgue spaces on the real axis

被引：2

作者：

Akgun, Ramazan ^{[1
]}

Ghorbanalizadeh, Arash ^{[2
]}

机构：

[1] Balikesir Univ, Fac Arts & Sci, Dept Math, Cagis Yerleskesi, Balikesir, Turkey

[2] Inst Adv Studies Basic Sci, Dept Math, Zanjan, Iran

来源：

TURKISH JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 04期

关键词：

Direct theorem; inverse theorem; modulus of continuity; simultaneous approximation; Lipschitz class; TRIGONOMETRIC APPROXIMATION; THEOREMS;

D O I：

10.3906/mat-1605-26

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain several inequalities of approximation by integral functions of finite degree in generalized Lebesgue spaces with variable exponent defined on the real axis. Among them are direct, inverse, and simultaneous estimates of approximation by integral functions of finite degree in L-p(.). An equivalence of modulus of continuity with Peetre's K-functional is established. A constructive characterization of Lipschitz class is also obtained.

引用

页码：1887 / 1903

页数：17

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