On Axer's theorem

DOI10.1016/j.jmaa.2011.08.082zbMath1244.40001OpenAlexW2010039197MaRDI QIDQ663614

Daniel Waterman

Publication date: 27 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.082

zbMATH Keywords

bounded variationTauberian theoremgeneralized bounded variationmultiplicative convolutionAbelian theorem

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Tauberian theorems (40E05)

Cites Work

• General inequalities of Stieltjes integrals and the convergence of Fourier series
• On generalized variations (I)
• On Λ-bounded variation
• On convergence of Fourier series of functions of generalized bounded variation
• Some Tauberian Theorems Connected with the Prime Number Theorem
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