Some new lacunary statistical convergence with ideals

Kilicman A; Borgohain S

doi:10.1186/s13660-016-1284-9

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Some new lacunary statistical convergence with ideals

Kilicman A ¹ , Borgohain S ²

Affiliations

¹ Department of Mathematics, University Putra Malaysia, Serdang, 43400 Selangor, Malaysia
² Department of Mathematics, University Putra Malaysia, Serdang, 43400 Selangor, Malaysia ; Department of Mathematics, Indian Institute of Technology, Bombay, Powai, 400076 Mumbai, India

J Inequal Appl, 2017;2017(1):15.

PMID: 28111513 DOI: 10.1186/s13660-016-1284-9

Abstract

In this paper, the idea of lacunary [Formula: see text]-statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function. We study relations between lacunary [Formula: see text]-statistical convergence with lacunary [Formula: see text]-summable sequences. Moreover, we study the [Formula: see text]-lacunary statistical convergence in probabilistic normed space and discuss some topological properties.

* Title and MeSH Headings from MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine.