Some remarks on statistical summability of order $\tilde{\alpha}$ defined by generalized De la Vall\'{e}e-Pousin Mean

Chawla Meenakshi; Vijay Kumar; M. S. Saroa

doi:10.5269/bspm.v33i1.22743

Chawla Meenakshi Maharishi Markandeshwar University Department of Mathematics
Vijay Kumar Haryana College of Technology and Management Department of Mathematics
M. S. Saroa Maharishi Markandeshwar University Department of Mathematics

DOI: https://doi.org/10.5269/bspm.v33i1.22743

Keywords: Statistical Convergence, $\lambda-$statistical convergence, Double sequences

Abstract

In this work we define $(\lambda, \mu)-$statistical summability and $(V, \lambda, \mu)-$\\summability of order $\tilde{\alpha}$ for double sequences and obtain some relations between these summability methods. We demonstrate examples which shows our method of summability is more general for double sequences.