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TAUBERIAN REMAINDER THEOREMS FOR TWO FAMILIES OF SUMMABILITY METHODS

Proceedings of the Estonian Academy of Sciences. Physics. Mathematics, 2000
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TWO TAUBERIAN REMAINDER THEOREMS FOR THE CESÀRO METHOD OF SUMMABILITY

Proceedings of the Estonian Academy of Sciences. Physics. Mathematics, 2000
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A Tauberian Remainder Theorem for the Hankel Transform

SIAM Journal on Mathematical Analysis, 1978
Using a general Parseval relation and the Wiener–Ganelius method, we give sharp Tauberian remainder results for the Hankel transform $F_\nu (x) = \int_0^\infty {\sqrt {xu} } J_\nu (xu)f(u)du$, $\nu \geqq {{ - 1} / 2}$. The remainder of $f(u)$ covers the whole range between $o(1)$ and $O(u^{ - 1} )$ which is a minorant for this transform.
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Tauberian theorems with remainder for Riesz and cesaro means

Ukrainian Mathematical Journal, 1984
Le premier et le deuxième théorème de cet article sont les théorèmes généraux de Tauber avec le reste pour la méthode de la sommabilité de Riesz et le troisième et le quatrième théorème sont les théorèmes généraux de Tauber avec le reste pour la méthode de la sommabilité de Cesàro.
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Applications of Tauberian theorems with remainder for the Laplace transform in probability theory

Ukrainian Mathematical Journal, 1988
The 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 ...
V I Mel'Nik, Mel'Nik V I
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Tauberian theorems with remainder for summation methods of the Gel'fand and Cesaro type

Ukrainian Mathematical Journal, 1989
Tauberian 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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Tauberian theorems with remainder for the Laplace transform on the line

Ukrainian Mathematical Journal, 1983
V I Mel'Nik, Mel'Nik V I
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Tauberian Theorems with Remainder

Journal of the London Mathematical Society, 1985
Suppose f and g are nondecreasing functions with finite Laplace transforms \(\hat f\) and \(\hat g\). In the paper we discuss conditions under which as \(x\to \infty\), \(\hat f(\frac{1}{x})-\hat g(\frac{1}{x})=0(a(x))\) implies \(f(x)-g(x)=O(b(x))\) for certain classes of functions g(x),a(x) and b(x), thereby extending a result of \textit{A. E. Ingham}
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TAUBERIAN THEOREMS WITH A REMAINDER FOR LAPLACE TRANSFORMS IN THE PLANE

Mathematics of the USSR-Sbornik, 1983
General 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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Tauberian remainder theorems for iterations of methods of weighted means

2019
In this paper we prove some Tauberian remainder theorems on ?-bounded sequences for iterations of methods of weighted means. © 2019, Academic Publishing House. All rights reserved.
Sezer, Sefa Anil, Canak, Ibrahim
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