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Journals / Universal Journal of Mathematics and Applications / 2021 / Cilt: 4 Sayı: 2

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

Merve TEMİZER ERSOY
Pages
70–75
Publication Date
2021-06-30
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

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Objective & Hypothesis: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].
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Key Findings & Data: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].
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Conclusion & Impact:In the present research, we will establish some Tauberian, Abelian and Core Theorems related to the $(V,\lambda)$-summability.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$A$-statistically convergence · core theorems · matrix transformations

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.

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Cite This Article

ERSOY, M. T. (2021). Some Abelian, Tauberian and Core Theorems Related to the $(V,\lambda)$-Summability. Universal Journal of Mathematics and Applications, Cilt: 4 Sayı: 2, 70–75. https://ajindex.com/articles/915380

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