Some new lacunary statistical convergence with ideals

In this paper, the idea of lacunary Iλ-statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function. We study relations between lacunary Iλ-statistical convergence with lacunary Iλ-summable sequences. Moreover, we study the Iλ-lacunary statistical convergence in...

Full description

Bibliographic Details
Main Authors: Kilicman, Adem, Borgohain, Stuti
Format: Article
Language:English
Published: Springer Open 2017
Online Access:http://psasir.upm.edu.my/id/eprint/63261/1/Some%20new%20lacunary%20statistical.pdf
_version_ 1825932574155866112
author Kilicman, Adem
Borgohain, Stuti
author_facet Kilicman, Adem
Borgohain, Stuti
author_sort Kilicman, Adem
collection UPM
description In this paper, the idea of lacunary Iλ-statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function. We study relations between lacunary Iλ-statistical convergence with lacunary Iλ-summable sequences. Moreover, we study the Iλ-lacunary statistical convergence in probabilistic normed space and discuss some topological properties.
first_indexed 2024-03-06T09:44:07Z
format Article
id upm.eprints-63261
institution Universiti Putra Malaysia
language English
last_indexed 2024-03-06T09:44:07Z
publishDate 2017
publisher Springer Open
record_format dspace
spelling upm.eprints-632612018-09-26T02:41:07Z http://psasir.upm.edu.my/id/eprint/63261/ Some new lacunary statistical convergence with ideals Kilicman, Adem Borgohain, Stuti In this paper, the idea of lacunary Iλ-statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function. We study relations between lacunary Iλ-statistical convergence with lacunary Iλ-summable sequences. Moreover, we study the Iλ-lacunary statistical convergence in probabilistic normed space and discuss some topological properties. Springer Open 2017-12 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/63261/1/Some%20new%20lacunary%20statistical.pdf Kilicman, Adem and Borgohain, Stuti (2017) Some new lacunary statistical convergence with ideals. Journal of Inequalities and Applications, 2017 (15). pp. 1-9. ISSN 1025-5834; ESSN:1029-242X https://link.springer.com/article/10.1186/s13660-016-1284-9 10.1186/s13660-016-1284-9
spellingShingle Kilicman, Adem
Borgohain, Stuti
Some new lacunary statistical convergence with ideals
title Some new lacunary statistical convergence with ideals
title_full Some new lacunary statistical convergence with ideals
title_fullStr Some new lacunary statistical convergence with ideals
title_full_unstemmed Some new lacunary statistical convergence with ideals
title_short Some new lacunary statistical convergence with ideals
title_sort some new lacunary statistical convergence with ideals
url http://psasir.upm.edu.my/id/eprint/63261/1/Some%20new%20lacunary%20statistical.pdf
work_keys_str_mv AT kilicmanadem somenewlacunarystatisticalconvergencewithideals
AT borgohainstuti somenewlacunarystatisticalconvergencewithideals