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A Tauberian Remainder Theorem with Applications to Lambert Summability.

MATHEMATICA SCANDINAVICA, 1974
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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 for (H, p, α, β)-and (C, p, α, β)-methods of summation of functions of two variables

Ukrainian Mathematical Journal, 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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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 ...
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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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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 Remainder-theorems.

1972
PhD ; Mathematics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/187601/2/7306929 ...
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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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Estimation of Coefficients of Univalent Functions by a Tauberian Remainder Theorem

Journal of the London Mathematical Society, 1974
Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135160/1/jlms0279 ...
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