Jensen-Mercer inequality for GA-convex functions and some related inequalities

DOI10.1186/s13660-020-02478-7zbMath1503.26058OpenAlexW3082976077MaRDI QIDQ2069553

İmdat İşcan

Publication date: 20 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-020-02478-7

zbMATH Keywords

Hermite-Hadamard inequalityHadamard fractional integralsGA-convex functionJensen-Mercer inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Means (26E60)

Related Items (4)

R-convexity in R-vector spaces ⋮ Unnamed Item ⋮ Some new inequalities for fractional integral operators ⋮ Fractional integral operators in linear spaces

Cites Work

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• New general integral inequalities for quasi-geometrically convex functions via fractional integrals
• Convexity according to means
• Convexity according to the geometric mean
• Some Fejér type integral inequalities for geometrically-arithmetically-convex functions with applications
• Convex functions and their applications. A contemporary approach

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