On statistical convergence of order α in partial metric spaces-Reference-Cited by-同舟云学术

On statistical convergence of order α in partial metric spaces

Published:2024-01-02 Issue:4 Volume:31 Page:557-565
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Bayram Erdal¹^ORCID,Bektaş Çiğdem A.²,Altın Yavuz²

Affiliation:

1. Department of Mathematics , Faculty of Arts and Sciences , Tekirdağ Namık Kemal University , Tekirdağ , Türkiye

2. Department of Mathematics , Faculty of Science , Fırat University , Elazığ , Türkiye

Abstract

Abstract The present study introduces the notions of statistical convergence of order α and strong p-Cesàro summability of order α in partial metric spaces. Also, we examine the inclusion relations between these concepts. In addition, we introduce the notion of λ-statistical convergence of order α in partial metric spaces while providing relations linked to these sequence spaces.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2023-2116/pdf

Reference22 articles.

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3. J. S. Connor, The statistical and strong p-Cesàro convergence of sequences, Analysis 8 (1988), no. 1–2, 47–63.

4. R. Çolak, Statistical convergence of order α, Modern Methods in Analysis and Its Applications, Anamaya Publication, New Delhi (2010), 121–129.

5. R. Çolak, On λ-statistical convergence, (2011), https://www.researchgate.net/publication/368288961_On_l-Statistical_Convergence.