Asymptotically Lacunary ?-Statistical Equivalence of Generalized Difference Sequences in Probabilistic Normed Spaces

被引：0

作者：

Haloi, Rupam ^{[1
]}

Sen, Mausumi ^{[1
]}

Tripathy, Binod Chandra ^{[2
]}

机构：

[1] Natl Inst Technol Silchar, Dept Math, Silchar 788010, Assam, India

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

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷

关键词：

Probabilistic normed space; -statistical convergence; difference sequence; lacunary sequence; asymptotically equivalent sequence; Orlicz function; MULTIPLE SEQUENCES; CONVERGENT;

D O I：

10.5269/bspm.51915

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The current article introduces the notion of asymptotically lacunary (Delta n, mu)-statistical equiv-alent sequence in the settings of a probabilistic norm N. Furthermore, the article presents the concepts of asymptotically (Delta n, mu)-strongly Cesa ' ro equivalent sequences and asymptotically (Delta n, mu)-strongly Cesa ' ro Orlicz equivalent sequences in the theory of probabilistic normed spaces and also investigates their various properties including some inclusion relations as well as some equivalent conditions in this new settings.

引用

页数：1

共 32 条

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