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Tauberian Theorems for Integrals

Canadian Journal of Mathematics, 1963
When, for the generalized summation of series, we use A and B methods, giving A and B sums, respectively, we say that the A method is included in the B method, A ⊂ B, if the B sum exists and is equal to the A sum whenever the latter exists. A theorem proving such a result is called an Abelian theorem.
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Tauberian theorems

Israel Journal of Mathematics, 1963
Tauberian constants and estimates are calculated for the difference of two linear transforms from the form (1.1) of the same function satisfying Tauberian conditions.
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Cesàro summability of sequences in intuitionistic fuzzy normed spaces and related Tauberian theorems

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2020
Ö. Talo, E. Yavuz
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Tauberian Theorems for Intuitionistic Fuzzy Normed Spaces

Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences, 2021
V. Khan, M. Ahmad
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Tauberian Theorem of Erdős Revisited

Combinatorica, 2001
The aim of this paper is to present a simplified proof of the following Tauberian remainder theorem of \textit{P. Erdős} [J. Indian Math. Soc., n. Ser. 13, 131-144 (1949; Zbl 0034.31501)] saying that if \(a_n\geq 0\), \(n \geq 1\), then we have with \(s_n=\sum_{k=1}^n a_k\) \((n \in \mathbb{N})\) that \[ \sum_{k=1}^na_k(s_{n-k}+k)=n^2+O(n) \quad\text ...
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Extensions of Milin's Tauberian Theorem

Journal of the London Mathematical Society, 1988
Suppose that g is analytic in the unit disk. Set \(f=e\) g, and let \(s_ n(f)\) denote the nth partial sum of the power series of f. I. M. Milin proved a Tauberian theorem: If g is in the Dirichlet space, then \[ \lim_{r\to 1}| f(re^{i\theta})| =\ell \quad implies\quad \lim_{n\to \infty}| s_ n(f)(e^{i\theta})| =\ell, \] and \[ \lim_{r\to 1}f(re^{i ...
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Tauberian theorems for $$(\overline{N},p,q)$$(N¯,p,q) summable double sequences of fuzzy numbers

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2020
Ü. Totur, Ibrahim Çanak
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Tauberian Theorems.

The American Mathematical Monthly, 1960
Gordon M. Peterson, H. R. Pitt
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