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Tauberian Theorems for Integrals
Canadian Journal of Mathematics, 1963When, 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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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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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, 2020Ö. Talo, E. Yavuz
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Tauberian Theorems for Intuitionistic Fuzzy Normed Spaces
Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences, 2021V. Khan, M. Ahmad
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Tauberian Theorem of Erdős Revisited
Combinatorica, 2001The 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, 1988Suppose 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, 2020Ü. Totur, Ibrahim Çanak
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Tauberian Theorems for Sequences in 2-Normed Spaces
Results in Mathematics, 2017R. Savaş, S. A. Sezer
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Tauberian theorems for the logarithmic summability methods of integrals
, 2019M. Okur, Ü. Totur
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