APPROXIMATION IN GENERALIZED MORREY SPACES USING THE SECOND-ORDER DIFFERENCE

被引：0

作者：

Hasanah, Dahliatul ^{[1
,2
]}

Gunawan, Hendra ^{[1
]}

机构：

[1] Bandung Inst Technol, Fac Math & Sci, Anal & Geometry Grp, Jl Ganesha 10, Bandung 40132, Indonesia

[2] Univ Negeri Malang, Fac Math & Sci, Math Dept, Jl Semarang 5, Malang 65145, Indonesia

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2025年 / 28卷 / 01期

关键词：

Approximation; smooth functions; second-order difference; Zorko spaces;

D O I：

10.7153/mia-2025-28-11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The issue of the denseness property of smooth functions has been considered in many studies. To allow approximation by smooth functions in generalized Morrey spaces, generalized Zorko spaces and vanishing-type spaces are defined. While the generalized Zorko space employs the first-order difference, we construct a subspace of the generalized Morrey space utilizing the second-order difference. We investigate its properties concerning approximation by smooth functions and its relation to the generalized Zorko space.

引用

页码：159 / 172

页数：14

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