Hermite-Hadamard type integral inequalities for differentiable \(m\)-preinvex and (\(\alpha,m\))-preinvex functions

DOI10.1016/j.joems.2014.06.006zbMath1327.26022OpenAlexW2070890284MaRDI QIDQ895163

Muhammad Amer Latif, Muhammad Shoaib

Publication date: 26 November 2015

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2014.06.006

zbMATH Keywords

preinvex functioninvex setHermite-Hadamard's inequalityHölder's integral inequality\((\alpha,m)\)-preinvex function\(m\)-preinvex function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20) Inequalities involving other types of functions (26D07)

Related Items (13)

Integral inequalities for some convex functions via generalized fractional integrals ⋮ Estimates of bounds on the weighted Simpson type inequality and their applications ⋮ Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions ⋮ Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for generalized fractional integrals ⋮ Properties and Riemann-Liouville fractional Hermite-Hadamard inequalities for the generalized \((\alpha,m)\)-preinvex functions ⋮ Some new Hermite-Hadamard type inequalities for generalized harmonically convex functions involving local fractional integrals ⋮ ERRATUM TO “MORE RESULTS ON HERMITE-HDAMARD TYPE INEQUALITIES THROUGH (<i>α,m</i>)-PREINVEXITY” ⋮ Unnamed Item ⋮ Generalized harmonically convex functions on fractal sets and related Hermite-Hadamard type inequalities ⋮ Sandor type inequalities for Sugeno integral with respect to general \((\alpha,m,r)\)-convex functions ⋮ Berwald-type inequalities for Sugeno integral with respect to \({({\alpha,m,r})_{g}}\)-concave functions ⋮ Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for \(p\)-convex functions via conformable fractional integrals ⋮ Unnamed Item

Cites Work

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• Inequalities for differentiable mappings with application to special means and quadrature formulæ
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• Invexity and generalized convexity
• What is invexity?
• On Hermite-Hadamard Type Integral Inequalities for preinvex and log-preinvex functions
• On Generalizations of the Hadamard Inequality for (α, m)-Convex Functions
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