Hermite-Hadamard type inequalities for differentiable \(h_\phi\)-preinvex functions

DOI10.1007/s40065-014-0124-3zbMath1310.26022OpenAlexW2112350011WikidataQ59425170 ScholiaQ59425170MaRDI QIDQ2018845

Muhammad Uzair Awan, Khalida Inayat Noor, Sundas Khan, Muhammad Aslam Noor

Publication date: 25 March 2015

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-014-0124-3

zbMATH Keywords

Hermite-Hadamard-type inequalities\(h_\phi\)-preinvex function

Mathematics Subject Classification ID

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

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Some different type integral inequalities concerning twice differentiable generalized relative semi-\((r; m, h)\)-preinvex mappings ⋮ Fractional integral inequalities for generalized-\(\mathbf{m}\)-\(((h_1^p,h_2^q); (\eta_1,\eta_2))\)-convex mappings via an extended generalized Mittag-Leffler function ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some new fractional integral inequalities for generalized relative semi-m-(r; h₁, h₂)-preinvex mappings via generalized Mittag-Leffler function

Cites Work

• Hermite-Hadamard inequality for functions whose derivatives absolute values are preinvex
• On \(h\)-convexity
• Generalized preinvex functions and their properties
• Pre-invex functions in multiple objective optimization
• Non-connected convexities and applications
• On some inequalities for relative semi-convex functions
• Hermite-Hadamard inequalities for relative semi-convex functions and applications
• On hermite-hadamard inequalities for h-preinvex functions
• Three Proofs of the Inequality $e < {\left( {1 + \frac{1}{n}} \right)^{n + 0.5}}$
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