Generalized Hadamard fractional integral inequalities for strongly \((s,m)\)-convex functions

DOI10.1155/2021/6642289zbMath1477.26010OpenAlexW3135977689MaRDI QIDQ2034516

Ghulam Farid, Yanhua Bian, Chao Miao, Hafsa Yasmeen

Publication date: 22 June 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/6642289

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (5)

Generalization of some fractional versions of Hadamard inequalities via exponentially \((\alpha, h-m)\)-convex functions ⋮ Inequalities for generalized Riemann-Liouville fractional integrals of generalized strongly convex functions ⋮ Fractional versions of Hadamard-type inequalities for strongly exponentially \((\alpha, h - m)\)-convex functions ⋮ Riemann-Liouville fractional integral operators with respect to increasing functions and strongly \((\alpha, m)\)-convex functions ⋮ Certain generalized Riemann-Liouville fractional integrals inequalities based on exponentially \((h, m)\)-preinvexity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Certain Hermite-Hadamard type inequalities via generalized \(k\)-fractional integrals
• Remarks on strongly convex functions
• Convex functions, partial orderings, and statistical applications
• New characterizations of M-convex functions and their applications to economic equilibrium models with indivisibilities.
• 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
• Statistical behavior and consistency of classification methods based on convex risk minimization.
• On the Hermite-Hadamard type inequality for \(\psi\)-Riemann-Liouville fractional integrals via convex functions
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Extensions of the Hermite-Hadamard inequality for convex functions via fractional integrals
• On Hadamard-type inequalities for <i>m</i>-convex functions via Riemann-Liouville fractional integrals
• On Hermite--Hadamard type inequalities via generalized fractional integrals
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• GENERALIZATION OF INEQUALITIES ANALOGOUS TO HERMITE-HADAMARD INEQUALITY VIA FRACTIONAL INTEGRALS
• Analytic Inequalities

This page was built for publication: Generalized Hadamard fractional integral inequalities for strongly \((s,m)\)-convex functions