Results 151 to 160 of about 4,877 (197)

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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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.

The American Mathematical Monthly, 1960
Gordon M. Peterson, H. R. Pitt
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TAUBERIAN CLASSES AND TAUBERIAN THEOREMS

The Quarterly Journal of Mathematics, 1964
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A Tauberian Theorem

Journal of the London Mathematical Society, 1949
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Tauberian theorems

2020
Richard Beals, Roderick S. C. Wong
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On Tauberian Theorems

Proceedings of the London Mathematical Society, 1965
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General Tauberian Theorems

Proceedings of the London Mathematical Society, 1938
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A Universal Tauberian Theorem

Journal of the London Mathematical Society, 1958
Keogh, F. R., Petersen, G. M.
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