The backward operator of double almost $\left(\lambda_{m}\mu_{n}\right)$ convergence in $\chi^{2}-$Riesz space defined by a Musielak-Orlicz function

Nagarajan Subramanian; Ayhan Esi

doi:10.5269/bspm.v37i3.31971

The backward operator of double almost $\left(\lambda_{m}\mu_{n}\right)$ convergence in $\chi^{2}-$Riesz space defined by a Musielak-Orlicz function

Nagarajan Subramanian SASTRA University http://orcid.org/0000-0002-5895-673X
Ayhan Esi Adıyaman University Department of Mathematics http://orcid.org/0000-0003-3137-3865

DOI: https://doi.org/10.5269/bspm.v37i3.31971

Resumo

In this paper we introduce the backward operator is $\nabla$ and study the notion of $\nabla-$ statistical convergence and $\nabla-$ statistical Cauchy sequence using by almost $\left(\lambda_{m}\mu_{n}\right)$ convergence in $\chi^{2}-$Riesz space and also some inclusion theorems are discussed.