Generalizations of Hermite–Hadamard inequality ton-time differentiable functions which ares-convex in the second sense

DOI10.1524/anly.2012.1161zbMath1259.26020OpenAlexW2027479313MaRDI QIDQ4648895

Da-Wei Niu, Yun Hua, Wei-Dong Jiang, Feng Qi

Publication date: 16 November 2012

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2012.1161

zbMATH Keywords

convex functionsdifferentiable functionsgeneralizationrefinementHermite-Hadamard integral inequality\(s\)-convex function in the second sense

Mathematics Subject Classification ID

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

Related Items (6)

Some Hermite-Hadamard type inequalities for geometrically quasi-convex functions ⋮ Some new integral inequalities for n-times differentiable convex and concave functions ⋮ Integral inequalities of Hermite–Hadamard type for logarithmically h-preinvex functions ⋮ On strongly generalized convex functions of higher order ⋮ On strongly generalized convex functions ⋮ Fractional Hermite-Hadamard inequalities for convex functions and applications

Cites Work

• Hadamard-type inequalities for s-convex functions
• Some remarks on \(s\)-convex functions
• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• 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
• Degenerate elliptic systems

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