Results 11 to 20 of about 26 (26)
Ingham Tauberian theorem with an estimate for the error term
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 64, Page 4025-4031, 2003., 2003 We estimate the error term in the Ingham Tauberian theorem. This estimation of the error term is accomplished by considering an elementary proof of a weak form of Wiener′s general Tauberian theorem and by using a zero‐free region for the Riemann zeta function.
E. P. Balanzario, E. Marmolejo-Olea
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International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 7, Page 399-406, 2001., 2001 We prove necessary and sufficient Tauberian conditions for sequences summable by weighted mean methods. The main results of this paper apply to all weighted mean methods and unify the results known in the literature for particular methods. Among others, the conditions in our theorems are easy consequences of the slowly decreasing condition for real ...
Ferenc Móricz, Ulrich Stadtmüller
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Tauberian conditions for Conull spaces
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 4, Page 689-692, 1985., 1985 The typical Tauberian theorem asserts that a particular summability method cannot map any divergent member of a given set of sequences into a convergent sequence. These sets of sequences are typically defined by an “order growth” or “gap” condition. We establish that any conull space contains a bounded divergent member of such a set; hence, such sets ...
J. Connor, A. K. Snyder
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Some Tauberian theorems for Euler and Borel summability
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 4, Page 731-738, 1980., 1979 The well‐known summability methods of Euler and Borel are studied as mappings from ℓ1 into ℓ1. In this ℓ − ℓ setting, the following Tauberian results are proved: if x is a sequence that is mapped into ℓ1 by the Euler‐Knopp method Er with r > 0 (or the Borel matrix method) and x satisfies , then x itself is in ℓ1.
J. A. Fridy, K. L. Roberts
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Some of the next articles are maybe not open access.
Distributed-order wave equations with composite time fractional derivative
International Journal of Computer Mathematics, 2018Trifce Sandev, Zivorad Tomovski
exaly
On Tauber's second Tauberian theorem
Tohoku Mathematical Journal, 2012Jasson Vindas, Ricardo Estrada
exaly
Tauberian theorem of exponential type on limits of oscillation
Kyoto Journal of Mathematics, 1999exaly
Tauberian theorem of exponential type and its application to multiple convolution
Kyoto Journal of Mathematics, 1999exaly
Hardy-Type Tauberian Conditions on Time Scales
Mediterranean Journal of Mathematics, 2018Oktay Duman, Duman Oktay
exaly