Inequalities arising from generalized Euler-Type constants motivated by limit summability of functions

DOI10.7153/jmi-2019-13-19zbMath1434.40005OpenAlexW2925277204WikidataQ128174032 ScholiaQ128174032MaRDI QIDQ5223514

Mohammad Hadi Eghtesadi Fard, M. H. Hooshmand

Publication date: 18 July 2019

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2019-13-19

zbMATH Keywords

gamma functionconvex and concave functionsEuler-type constantsinequalities involving functionslimit summability of real functions

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Other functions defined by series and integrals (33E20) Functional inequalities, including subadditivity, convexity, etc. (39B62) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities involving other types of functions (26D07)

Cites Work

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• Limit summability of real functions.
• On generalized Euler constants and Schlömilch-Lemonnier type inequalities
• Log-convex solutions to the functional equation \(f(x+1)=g(x)f(x):\Gamma\)-type functions
• Exponential, gamma and polygamma functions: simple proofs of classical and new inequalities
• Fractional sums and Euler-like identities

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