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

Authors : Merve TEMİZER ERSOY

Pages : 70-75

Doi:10.32323/ujma.909885

View : 22 | Download : 9

Publication Date : 2021-06-30

Article Type : Research Paper

Abstract :For a non-decreasing sequence of positive integers tending to infinity $\lambda=insert ignore into journalissuearticles values(\lambda_m);$ such that $\lambda_{m+1}-\lambda_m\leq 1$, $\lambda_1=1$; $insert ignore into journalissuearticles values(V,\lambda);$-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 $insert ignore into journalissuearticles values(V,\lambda);$-summability.
Keywords : A statistically convergence, core theorems, matrix transformations