Asymptotically balanced functions and the asymptotic behaviour of the complementary function and the Laplace transform

DOI10.1016/0022-247X(89)90241-2zbMath0675.26002MaRDI QIDQ1122012

J. L. Geluk

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Tauberian theoremslog-Laplace transformAbelian theoremssample extremesasymptotically balanced functions

Mathematics Subject Classification ID

Laplace transform (44A10) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (2)

On the asymptotic behaviour of a class of trigonometric series ⋮ An Abel-Tauber theorem for partitions. II

Cites Work

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• Asymptotically balanced functions and stochastic compactness of sample extremes
• Dominated variation and related concepts and Tauberian theorems for Laplace transforms
• AN EXTENSION OF KARAMATA'S TAUBERIAN THEOREM AND ITS CONNECTION WITH COMPLEMENTARY CONVEX FUNCTIONS
• DUALITY FOR REGULARLY VARYING FUNCTIONS
• An Abel-Tauber Theorem for Laplace Transforms
• A Tauberian Theorem of Exponential Type
• Regularly increasing functions in connection with the theory of $L^{*φ}$-spaces

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