Relative uniform convergence of difference double sequence of positive linear functions

被引：5

作者：

Devi, Kshetrimayum Renubebeta ^{[1
]}

Tripathy, Binod Chandra ^{[1
]}

机构：

[1] Tripura Univ, Dept Math, Agartala 799022, Tripura, India

来源：

RICERCHE DI MATEMATICA | 2023年 / 72卷 / 02期

关键词：

Difference sequence space; Completeness; Relative uniform convergence; Solid space; Symmetric space; Monotone space;

D O I：

10.1007/s11587-021-00613-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we introduce the notion of relative uniform convergence of difference double sequence of positive linear functions. We define the difference double sequence spaces (2)l(infinity)(Delta, ru), (2)c(Delta, ru), C-2(0)(Delta, ru),(2) c(0)(B) (Delta, ru), (2)c(B)(Delta, ru), C-2(R) (Delta, ru), C-2(0)R (Delta, ru) and study their topological properties.

引用

页码：961 / 972

页数：12

共 37 条

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[37] Lacunary statistical convergence of order α,β\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha, \beta$$\end{document} for generalized vector-valued difference sequence spaces
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