Some Hermite-Hadamard type inequalities for \(n\)-time differentiable \(({\alpha},m)\)-convex functions

DOI10.1186/1029-242X-2012-267zbMath1279.26043WikidataQ59290563 ScholiaQ59290563MaRDI QIDQ387936

Shu-Hong Wang, Shu-Ping Bai, Feng Qi

Publication date: 17 December 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

differentiable function\(({\alpha},m)\)-convex functionHermite-Hadamard's integral inequality

Mathematics Subject Classification ID

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

Related Items (10)

Integral inequalities of Hermite-Hadamard type for extended \(s\)-convex functions and applications ⋮ Fejér-Hermite-Hadamard inequalities for \(n\)-times differentiable preinvex functions ⋮ New weighted inequalities for higher order derivatives and applications ⋮ Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals of (α,m)-convex functions ⋮ Some Hermite-Hadamard type inequalities for geometrically quasi-convex functions ⋮ Some new integral inequalities for n-times differentiable convex and concave functions ⋮ Generalized fractional integral inequalities of Hermite-Hadamard type for \((\alpha,m)\)-convex functions ⋮ Hermite–Hadamard type integral inequalities for geometric-arithmeticallys-convex functions ⋮ Some properties and inequalities for h-geometrically convex functions ⋮ On some Hermite-Hadamard-type integral inequalities for co-ordinated (\(\alpha\), QC)- and (\(\alpha\), CJ)-convex functions

Cites Work

• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• Hermite-Hadamard type inequalities for the \(m\)- and \((\alpha,m)\)-geometrically convex functions
• Generalizations and refinements of Hermite-Hadamard's inequality

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