Refinements and applications of several Hermite-Hadamard type inequalities

DOI10.7153/JMI-2024-18-88MaRDI QIDQ6668485

Tao Zhang, Feng Qi

Publication date: 22 January 2025

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

zbMATH Keywords

convex functionmeanrefinementintegral inequalityHermite-Hadamard type inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Means (26E60)

Cites Work

• Title not available (Why is that?)
• Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means
• On some inequalities of Hermite-Hadamard type via \(m\)-convexity
• 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
• Hermite-Hadamard type inequalities for the \(m\)- and \((\alpha,m)\)-geometrically convex functions
• Inequalities for differentiable mappings with application to special means and quadrature formulæ
• Generalized fractional integral inequalities of Hermite-Hadamard type for \((\alpha,m)\)-convex functions
• Generalized Hermite-Hadamard type inequalities for differentiable harmonically-convex and harmonically quasi-convex functions
• Hermite-Hadamard type inequalities for the m- and (α, m)-logarithmically convex functions

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