Milne-type integral inequalities for modified \((h,m)\)-convex functions on fractal sets
type: Item
instance of: scholarly article
title: Milne-type integral inequalities for modified \((h,m)\)-convex functions on fractal sets
zbMATH Open document ID: 1541.26046
author: Juan E. Nápoles
author: Paul M. Guzmán
author: Bahtiyar Bayraktar
published in: Problemy Analiza. Issues of Analysis
publication date: 2024-07-11T00:00:00Z
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 26A51
zbMATH DE Number: 7879996
zbMATH Keywords: local fractional derivatives
zbMATH Keywords: local fractional integrals
zbMATH Keywords: fractal sets
zbMATH Keywords: Milne inequality
zbMATH Keywords: \((h, m)\)-convex modified functions of second type
zbMATH Keywords: Hölder inequality
zbMATH Keywords: power mean inequality
MaRDI profile type: Publication
cites work: Some new local fractional inequalities associated with generalized \((s,m)\)-convex functions and applications
cites work: Certain Hermite-Hadamard type inequalities via generalized \(k\)-fractional integrals
cites work: On some integral inequalities via conformable fractional integrals
cites work: Q4606796
cites work: MILNE-TYPE FRACTAL INTEGRAL INEQUALITIES FOR GENERALIZED m-CONVEX MAPPING
cites work: New generalized integral inequalities via $(h,m)$-convex modified functions
cites work: On Generalizations of Integral Inequalities
cites work: Generalization of Hadamard-type trapezoid inequalities for fractional integral operators
cites work: SOME NEW GENERALIZATIONS OF HADAMARD&ndash;TYPE MIDPOINT INEQUALITIES INVOLVING FRACTIONAL INTEGRALS
cites work: Q3205805
cites work: Some function classes related to the class of convex functions
cites work: On new Milne-type inequalities for fractional integrals
cites work: Q4510261
cites work: Generalizations of Hölder's and some related integral inequalities on fractal space
cites work: Some new inequalities of Simpson’s type for s-convex functions via fractional integrals
cites work: Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
cites work: Q3153169
cites work: CERTAIN INTEGRAL INEQUALITIES CONSIDERING GENERALIZED m-CONVEXITY ON FRACTAL SETS AND THEIR APPLICATIONS
cites work: Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
cites work: Generalized \(s\)-convex functions on fractal sets
cites work: Generalized convex functions on fractal sets and two related inequalities
cites work: Integral inequalities of Simpson type via weighted integrals
cites work: Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
cites work: Q3705647
DOI: 10.15393/J3.ART.2024.15450
description: scientific article; zbMATH DE number 7879996