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

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,...

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Published in:Universal journal of mathematics and applications 2021-06, Vol.4 (2), p.70-75
Main Author: TEMİZER ERSOY, Merve
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Language:English
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a$-statistically convergence
core theorems
matrix transformations
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description 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.
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subjects a$-statistically convergence
core theorems
matrix transformations
title Some Abelian, Tauberian and Core Theorems Related to the $(V,\lambda)$-Summability
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