Hermite-Hadamard type inequalities for (m, M)-Ψ-convex functions when Ψ = -ln

DOI10.5937/MatMor1801065SzbMath1474.26104MaRDI QIDQ4988282

I. Gomm, Sever Silvestru Dragomir

Publication date: 14 May 2021

Published in: Mathematica Moravica (Search for Journal in Brave)

zbMATH Keywords

convex functionslogarithmic functionweighted arithmetic and geometric meansspecial convexity

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (2)

Some Hermite-Hadamard type integral inequalities for convex functions defined on convex bodies in \(\mathbb{R}^n\) ⋮ Some new generalizations for m-convexity via new conformable fractional integral operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On \(h\)-convexity
• Hadamard-type inequalities for s-convex functions
• Hermite and convexity
• Some remarks on \(s\)-convex functions
• Univariate Ostrowski inequalities, revisited
• \(P\)-functions, quasi-convex functions, and Hadamard-type inequalities
• Ostrowski-type inequalities via \(h\)-convex functions with applications to special means
• A Survey on Jessen’s Type Inequalities for Positive Functionals
• On the Godunova-Levin-Schur class of functions
• Simple proof and refinement of Hermite-Hadamard inequality
• On some Hadamard-type inequalities for h-convex functions
• On Hermite-Hadamard-Fejér type inequalities for convex functions via fractional integrals
• Hermite-Hadamard's inequality and the p-HH-norm on the Cartesian product of two copies of a normed space

This page was built for publication: Hermite-Hadamard type inequalities for (m, M)-Ψ-convex functions when Ψ = -ln