Some Abelian, Tauberian and Core Theorems Related to the $(V,\lambda)$-Summability

Year 2021, , 70 - 75, 30.06.2021

Merve Temizer Ersoy

https://doi.org/10.32323/ujma.909885

Cited By: 2

Abstract

For a non-decreasing sequence of positive integers tending to
infinity $\lambda=(\lambda_m)$ such that $\lambda_{m+1}-\lambda_m\leq 1$, $\lambda_1=1$;
$(V,\lambda)$-summability has been defined as the limit of the generalized de la Val\'{e}e-Pousin of a sequence, [10]. In the present research, we will establish some Tauberian, Abelian and Core Theorems related to the $(V,\lambda)$-summability.

Keywords

$A$-statistically convergence, core theorems, matrix transformations

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