\(k\)-fractional integral trapezium-like inequalities through \((h,m)\)-convex and \((\alpha,m)\)-convex mappings
type: Item
instance of: scholarly article
title: \(k\)-fractional integral trapezium-like inequalities through \((h,m)\)-convex and \((\alpha,m)\)-convex mappings
zbMATH Open document ID: 1386.26006
author: Hao Wang
author: Tingsong Du
author: Yao Zhang
published in: Journal of Inequalities and Applications
publication date: 2018-01-08T00:00:00Z
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 26A51
Mathematics Subject Classification ID: 26D07
Mathematics Subject Classification ID: 26D20
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 6823002
zbMATH Keywords: \((h,m)\)-convex functions
zbMATH Keywords: \((\alpha,m)\)-convex functions
zbMATH Keywords: \(k\)-fractional integrals
Wikidata QID: Q47135588
MaRDI profile type: Publication
full work available at URL: s13660-017-1586-6
OpenAlex ID: W2778148327
cites work: Properties and integral inequalities of Hadamard-Simpson type for the generalized \((s,m)\)-preinvex functions
cites work: On Generalizations of the Hadamard Inequality for (α, m)-Convex Functions
cites work: A generalization of Simpson's inequality via differentiable mapping using extended \((s,m)\)-convex functions
cites work: On some new inequalities of Hermite-Hadamard type for functions whose derivatives are \(s\)-convex in the second sense in the absolute value
cites work: Inequalities for \(h\)-preinvex functions
cites work: Q5250919
cites work: Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
cites work: Q2950817
cites work: GENERALIZATION OF INEQUALITIES ANALOGOUS TO HERMITE-HADAMARD INEQUALITY VIA FRACTIONAL INTEGRALS
cites work: The Hadamard inequality for convex function via fractional integrals
cites work: Generalized Hermite-Hadamard type integral inequalities for fractional integrals
cites work: Generalization of different type integral inequalities fors-convex functions via fractional integrals
cites work: Q5259408
cites work: Hermite-Hadamard-type inequalities for \(r\)-convex functions based on the use of Riemann-Liouville fractional integrals
cites work: Extensions of the Hermite-Hadamard inequality for harmonically convex functions via fractional integrals
cites work: Fractional Hermite-Hadamard inequalities for differentiable s-Godunova-Levin functions
cites work: Q5090585
cites work: New Hermite-Hadamard's inequalities for preinvex functions via fractional integrals
cites work: Hermite-Hadamard type inequalities for generalized \((s,m,\varphi)\)-preinvex functions via \(k\)-fractional integrals
cites work: Q5018433
cites work: \(k\)-fractional integrals and application
cites work: Some generalized Riemann-Liouville \(k\)-fractional integral inequalities
cites work: On the k-Riemann-Liouville fractional derivative
cites work: \((k, s)\)-Riemann-Liouville fractional integral and applications
cites work: On bounds involving \(k\)-Appell's hypergeometric functions
cites work: On generalized Grüss type inequalities for \(k\)-fractional integrals
cites work: On \(h\)-convexity
cites work: Q5278954
cites work: Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
cites work: Inequalities for differentiable mappings with application to special means and quadrature formulæ
DOI: 10.1186/S13660-017-1586-6
description: scientific article; zbMATH DE number 6823002