On some inequalities for functions whose absolute values of the second derivatives are α-, m-, (α,m)-logarithmically convex

DOI10.1515/GMJ-2015-0002zbMath1318.26023OpenAlexW2563984480MaRDI QIDQ5262468

Mevlüt Tunç, Ibrahim Karabayir, Ebru Yüksel

Publication date: 15 July 2015

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2015-0002

zbMATH Keywords

Hölder's inequalityHadamard's inequalityCauchy's inequalitypower mean inequality(\(\alpha, m\))-logarithmically convex

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

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