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A superadditive property of Hadamard's gamma function

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Publication:1032513
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DOI10.1007/s12188-008-0009-5zbMath1180.33001OpenAlexW2087320643WikidataQ56486352 ScholiaQ56486352MaRDI QIDQ1032513

Horst Alzer

Publication date: 26 October 2009

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12188-008-0009-5


zbMATH Keywords

Euler gamma functionpsi functionHadamard gamma functionsuperadditive inequalities


Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Functional inequalities, including subadditivity, convexity, etc. (39B62)


Related Items

Ostrowski-type inequalities via \(h\)-convex functions with applications to special means ⋮ Some weighted integral inequalities for differentiable \(h\)-preinvex functions ⋮ A fluctuation-corrected functional of convex Poisson–Boltzmann theory



Cites Work

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  • A subadditive property of the gamma function.
  • A power mean inequality for the gamma function
  • Leonhard Euler's Integral: A Historical Profile of the Gamma Function: In Memoriam: Milton Abramowitz
  • On some inequalities for the gamma and psi functions
  • Mean-value inequalities for the polygamma functions
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