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TAUBERIAN THEOREMS WITH A REMAINDER FOR LAPLACE TRANSFORMS IN THE PLANE
Mathematics of the USSR-Sbornik, 1983General theorems are proved that for certain classes of (complex-valued) functions enable us to find an asymptotic expansion of as from an asymptotic expansion of its Laplace transform (as ) with respect to a domain having the origin of coordinates as an adherent point. A number of previous results are obtained as special cases.Bibliography: 3 titles.
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The remainder in a gap Tauberian theorem for Abel summability
Mathematical Proceedings of the Cambridge Philosophical Society, 1977Using Pitt's Tauberian classes and a theorem of Pitt (3), Krishnan(2) has recently obtained a gap Tauberian theorem for (Aα) summability. We recall briefly the notation introduced in (2). Letand assume that the series a(t) and A(t) converge for all t > 0.
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Tauberian theorems with remainder for summation methods of the Gel'fand and Cesaro type
Ukrainian Mathematical Journal, 1989Tauberian theorems on sequences from a linear locally convex space F are proved for Hölder and Cesàro methods. By special choice of F some earlier results of G. H. Hardy, R. Schmidt, N. A. Davydov and G. Kangro can be obtained from these theorems. Choosing the space of all continuous \(2\pi\)-periodic functions for F the author gives a result for ...
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Applications of Tauberian theorems with remainder for the Laplace transform in probability theory
Ukrainian Mathematical Journal, 1988The paper deals with a renewal process whose distribution of the distances between jumps has a density f such that \(\int^{\infty}_{0}x^ af(x ...
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Tauberian theorems with remainder term
1960zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Wiener Tauberian theorem for operators and functions
Journal of Functional Analysis, 2021Franz Luef, Eirik Skrettingland
exaly
A Tauberian theorem for Cesàro summability of integrals
Applied Mathematics Letters, 2011Ümit Totur
exaly
A Tauberian Theorem for a Weighted Mean Method of Summability in Ordered Spaces
The National Academy of Sciences, India, 2020İbrahİm Çanak
exaly
A multidimensional Tauberian theorem for Laplace transforms of ultradistributions
Integral Transforms and Special Functions, 2020Lenny Neyt, Jasson Vindas
exaly

