New integral inequalities via $(\alpha,m)$-convexity and quasi-convexity

zbMath1292.26053arXiv1201.6226MaRDI QIDQ5401326

Wenjun Liu

Publication date: 12 March 2014

Full work available at URL: https://arxiv.org/abs/1201.6226

zbMATH Keywords

quasi-convexityHölder's inequalityEuler beta functionHermite's inequality\((\alpha,m)\)-convexity

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51)

Related Items (5)

Some fractional integral inequalities involving \(m\)-convex functions ⋮ Unnamed Item ⋮ The sharper form of a Brunn-Minkowski type inequality for boxes ⋮ Integral inequalities via generalized quasiconvexity with applications ⋮ Some inequalities of Hermite–Hadamard, Ostrowski and Simpson type for (ξ,m,MT)-preinvex functions

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