EXTENSIONS OF THE HERMITE–HADAMARD INEQUALITY FOR -PREINVEX FUNCTIONS ON AN INVEX SET

DOI10.1017/S0004972716001374zbMath1370.26041OpenAlexW2592931650MaRDI QIDQ5269718

Dah-Yan Hwang, Sever Silvestru Dragomir

Publication date: 27 June 2017

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

Full work available at URL: https://doi.org/10.1017/s0004972716001374

zbMATH Keywords

\(r\)-convexinvex setextended meansHermite-Hadamard\(r\)-preinvex

Mathematics Subject Classification ID

Convex programming (90C25) Inequalities for sums, series and integrals (26D15)

Related Items

Some inequalities for multiplicative tempered fractional integrals involving the \(\lambda \)-incomplete gamma functions ⋮ Extensions of different type parameterized inequalities for generalized \((m,h)\)-preinvex mappings via \(k\)-fractional integrals ⋮ Inequalities for the weighted mean of r-preinvex functions on an invex set ⋮ Certain quantum estimates on the parameterized integral inequalities and their applications

Cites Work

• \(r\)-preinvexity and \(r\)-invexity in mathematical programming
• Pre-invex functions in multiple objective optimization
• On sufficiency of the Kuhn-Tucker conditions
• Invex equilibrium problems
• Mean value in invexity analysis
• Hermite-Hadamard-type inequalities for \(r\)-preinvex functions
• On invex sets and preinvex functions
• A new method of solving nonlinear mathematical programming problems involving \(r\)-invex functions
• What is invexity?
• Variational-like inequalities
• Characterizations and applications of prequasi-invex functions.
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