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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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A Tauberian Theorem of Wiener–Ikehara Type and Its Applications
, 2021T. Koga
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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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Logarithmic means of sequences of fuzzy numbers and a Tauberian theorem
Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2020S. A. Sezer
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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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A Tauberian Theorem for a Weighted Mean Method of Summability in Ordered Spaces
, 2020Ibrahim Çanak
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Experimental quantum key distribution certified by Bell's theorem
Nature, 2022David Nadlinger +2 more
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Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators
Nature Machine Intelligence, 2021Lu Lu, Pengzhan Jin, Guofei Pang
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Bayesian statistics and modelling
Nature Reviews Methods Primers, 2021Rens van de Schoot +2 more
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