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

Abstract

In this article we define (λ, µ)−statistical summability and (V, λ, µ)− summability of orderα 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.

f ( λ , μ ) $f_{(\lambda,\mu)}$ -statistical convergence of order α̃ for double sequences

“…Besides this we also study strong -Cesàro summability for double sequences of order α̃ and give inclusion relations. These results are the generalizations of the studies by Meenakshi et al [ 43 ].…”

(\Delta^m\)-Ideal Convergence of Generalized Difference Sequences in Neutrosophic Normed Spaces

“…The perception was initiated to deal with the theory of series summation and has been studied by various researchers in different spaces such as intutionistic fuzzy normed spaces [20], random 2-normed spaces [21], probabilistic normed spaces [10] etc. It has also been studied for different sequences such as ordinary sequences [28], double sequences [23], triple sequences [27] and multiple sequences [19] by various authors see [3,4,26]. Definition 1.1.…”