On weighted Hermite-Hadamard inequalities

DOI10.1016/j.amc.2011.03.081zbMath1229.26034OpenAlexW2050345686MaRDI QIDQ648298

Yu-Dong Wu, Zhi-Hua Zhang, Zhen-Gang Xiao

Publication date: 22 November 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.081

zbMATH Keywords

convex functionJensen's inequalityweightedHermite-Hadamard's inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (7)

Generalizations of some Hermite-Hadamard-type inequalities ⋮ Hermite-Hadamard-type inequalities for \(r\)-convex functions based on the use of Riemann-Liouville fractional integrals ⋮ On some new Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals ⋮ New generalized Hermite-Hadamard type inequalities and applications to special means ⋮ Hermite-Hadamard-type inequalities involving \(\psi\)-Riemann-Liouville fractional integrals via \(s\)-convex functions ⋮ Fejér and Hermite-Hadamard type inequalities for harmonically convex functions ⋮ Fractional Integral Inequalities for Differentiable Convex Mappings and Applications to Special Means and a Midpoint Formula

Cites Work

• Further refinements of the Jensen inequalities based upon samples with repetitions
• A general family of weighted elementary symmetric means
• Convex functions, partial orderings, and statistical applications
• Two mappings in connection to Hadamard's inequalities
• New refinements of the Jensen inequalities based on samples with repetitions
• Generalizations and refinements of Hermite-Hadamard's inequality
• A best possible Hadamard inequality
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