Generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvex functions

DOI10.4067/S0716-09172017000100004zbMath1382.26022MaRDI QIDQ4604442

Rozana Liko, Artion Kashuri

Publication date: 26 February 2018

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

zbMATH Keywords

Hölder inequalityfractional integralEuler gamma functionOstrowski-type inequalityEuler beta functionpower mean inequality\(P\)-functionHermite-Hadamard-type inequality\(m\)-invex function\(\mathrm{MT}\)-convex function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

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Cites Work

• Generalized invexity and generalized invariant monotonicity
• Mean value in invexity analysis
• Properties and integral inequalities of Hadamard- Simpson type for the generalized (s,m) -preinvex functions
• Invexity and generalized convexity
• Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals
• New integral inequalities via P-convexity
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