Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 6

Tauberian conditions under which convergence follows from summability by the discrete power series method

Pages
2898–2907
Publication Date
2019-12-01
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

As special cases of our main results, we get discrete analogues of some well-known Tauberian theorems in the literature.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we obtain Tauberian conditions to recover convergence of a series from its discrete power series summability under certain conditions.
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Key Findings & Data:In this paper, we obtain Tauberian conditions to recover convergence of a series from its discrete power series summability under certain conditions.
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Conclusion & Impact:As special cases of our main results, we get discrete analogues of some well-known Tauberian theorems in the literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Tauberian conditions · discrete summability · power series methods

Abstract

In this paper, we obtain Tauberian conditions to recover convergence of a series from its discrete power series summability under certain conditions. As special cases of our main results, we get discrete analogues of some well-known Tauberian theorems in the literature.

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Cite This Article

SEZER, S. A., ÇANAK, İ. (2019). Tauberian conditions under which convergence follows from summability by the discrete power series method. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 6, 2898–2907. https://ajindex.com/articles/201376

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