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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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An application of a general Tauberian remainder theorem

Arkiv för Matematik, 1975
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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 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 (H, p, α, β)-and (C, p, α, β)-methods of summation of functions of two variables

Ukrainskij matematičeskij žurnal, 1999
We consider a general method of obtaining Tauberian theorems with remainder for Holder- and Cesarotype methods of summation.
V. M. Aldanov, G. O. Mikhalin
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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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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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