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Géza Freud's work on Tauberian remainder theorems
Journal of Approximation Theory, 1986 This illuminating survey paper, dedicated to the memory of Géza Freud, states the Tauberian theorems of Tauber, Hardy and Littlewood; next Freud's Tauberian remainder theorem, and, as an essential tool for the proof, Freud's approximation theorem are given. Finally, more general Tauberian remainder theorems, due to the author, are discussed.
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On Ikehara type Tauberian theorems with $$O(x^\gamma )$$ O ( x γ ) remainders
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2017 Motivated by analytic number theory, we explore remainder versions of Ikehara's Tauberian theorem yielding power law remainder terms. More precisely, for $f:[1,\infty)\rightarrow{\mathbb R}$ non-negative and non-decreasing we prove $f(x)-x=O(x^\gamma)$ with ...
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On two Tauberian remainder theorems [PDF]
Pacific Journal of Mathematics, 1962 openaire +2 more sources
ON THE COMPARISON OF TAUBERIAN REMAINDER THEOREMS
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics, 1996 openaire +2 more sources
On Tauberian Remainder Theorems For Ces\`{a}ro Summability method of noninteger order [PDF]
Miskolc Mathematical Notes, 2015 Totur, Ümit, Okur, Muhammet Ali
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Tauberian remainder theorems for the Borel methods.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1975 openaire +1 more source