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

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, we will establish some Tauberian, Abelian and Core Theorems related to the $(V,\lambda)$-summability.

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