Generalization of Hermite-Hadamard type inequalities for \(n\)-times differentiable functions through preinvexity

DOI10.1515/gmj-2015-0053zbMath1334.26049OpenAlexW2328750009MaRDI QIDQ255148

Muhammad Amer Latif, Sever Silvestru Dragomir

Publication date: 9 March 2016

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

Full work available at URL: https://doi.org/10.1515/gmj-2015-0053

zbMATH Keywords

preinvex functionHermite-Hadamard inequalityHölder integral inequalityinvex set

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Calculus of vector functions (26B12) Convexity of real functions in one variable, generalizations (26A51)

Related Items (4)

Extensions of different type parameterized inequalities for generalized \((m,h)\)-preinvex mappings via \(k\)-fractional integrals ⋮ Fejér-Hermite-Hadamard inequalities for \(n\)-times differentiable preinvex functions ⋮ Riemann-Liouville fractional trapezium-like inequalities via generalized (m, h 1 , h 2 )-preinvexity ⋮ Certain quantum estimates on the parameterized integral inequalities and their applications

Cites Work

• Pre-invex functions in multiple objective optimization
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• Inequalities for differentiable mappings with application to special means and quadrature formulæ

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