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

Authors : Merve Temizer Ersoy

Pages : 70-75

Doi:10.32323/ujma.909885

View : 18 | Download : 7

Publication Date : 2021-06-30

Article Type : Research

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