Generalized Hermite-Hadamard type integral inequalities

DOI10.2478/tmj-2014-0015zbMath1305.26055OpenAlexW2046243982MaRDI QIDQ488486

Hüseyin Budak, Mehmet Zeki Sarikaya

Publication date: 26 January 2015

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

Full work available at URL: https://doi.org/10.2478/tmj-2014-0015

zbMATH Keywords

Hölder's inequality\(s\)-convex functionHermite-Hadamard's inequalities

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)

Related Items (4)

On Hermite-Hadamard type inequalities for \(s\)-convex mappings via fractional integrals of a function with respect to another function ⋮ Some new inequalities for generalized convex functions pertaining generalized fractional integral operators and their applications ⋮ Fractional trapezium-type inequalities for strongly exponentially generalized preinvex functions with applications ⋮ BOUNDS OF AN INTEGRAL OPERATOR FOR CONVEX FUNCTIONS AND RESULTS IN FRACTIONAL CALCULUS

Cites Work

• Convex functions, partial orderings, and statistical applications
• Some remarks on \(s\)-convex functions
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• On new inequalities of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex with applications
• Integral inequalities of Hermite-Hadamard type for functions whose third derivatives are convex
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