Hermite-Hadamard type inequalities for m-convex functions by using a new inequality for dierentiable functions

DOI10.22103/jmmrc.2020.14449.1099zbMath1474.26139OpenAlexW3047527568MaRDI QIDQ5854522

H. Barsam, Yamin Sayyari

Publication date: 17 March 2021

Full work available at URL: https://jmmrc.uk.ac.ir/article_2637_567cc46a7755ee31d232fa3433db496e.pdf

zbMATH Keywords

quasiconvex functionsfunctional inequalitiesHölder inequality\(m\)-convex functionsHermite-Hadamard inequalities

Mathematics Subject Classification ID

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

Related Items (3)

A new refinement of Jensen-type inequality with respect to uniformly convex functions with applications in information theory ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Hermite-Hadamard type inequalities for fractional integrals via Green's function
• The Hermite-Hadamard type inequality of GA-convex functions and its application
• Convexity of the integral arithmetic mean of a convex function
• On some inequalities of Hermite-Hadamard type via \(m\)-convexity
• Inequalities and infinite product formula for Ramanujan generalized modular equation function
• Conformable fractional integrals versions of Hermite-Hadamard inequalities and their generalizations
• Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters
• Some new inequalities of Hermite-Hadamard type for \(s\)-convex functions with applications
• On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind
• On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula
• Schur convexity and Hadamard's inequality
• Increasing co-radiant functions and Hermite-Hadamard type inequalities
• Some results on abstract convexity of functions
• On approximating the error function
• Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function

This page was built for publication: Hermite-Hadamard type inequalities for m-convex functions by using a new inequality for dierentiable functions