Riesz triple probabilisitic of almost lacunary ces$\acute{A}$ro $C_{111}$ statistical convergence of $\chi^{3}$ defined by a Musielak Orlicz function

Dr Vandana; _ Deepmala; N. Subramanian; Vishnu Narayan Mishra

doi:10.5269/bspm.v36i4.32870

Riesz triple probabilisitic of almost lacunary ces$\acute{A}$ro $C_{111}$ statistical convergence of $\chi^{3}$ defined by a Musielak Orlicz function

Dr Vandana Pt. Ravishankar Shukla University
_ Deepmala SQC & OR Unit, Indian Statistical Institute http://orcid.org/0000-0002-2600-6836
N. Subramanian SASTRA University
Vishnu Narayan Mishra Sardar Vallabhbhai National Institute of Technology http://orcid.org/0000-0002-2159-7710

DOI: https://doi.org/10.5269/bspm.v36i4.32870

Keywords: Analytic sequence, Orlicz function, chi sequence, Riesz space, statistical convergence, Cesàro C 1, 1, 1 - statistical convergence

Abstract

In this paper we study the concept of almost lacunary statistical Ces$\acute{a}$ro of $\chi^{3}$ over probabilistic $p-$ metric spaces defined by Musielak Orlicz function. Since the study of convergence in PP-spaces is fundamental to probabilistic functional analysis, we feel that the concept of almost lacunary statistical Ces$\acute{a}$ro of $\chi^{2}$ over probabilistic $p-$ metric spaces defined by Musielak in a PP-space would provide a more general framework for the subject.