Some parameterized integral inequalities for \(p\)-convex mappings via the right Katugampola fractional integrals

DOI10.3934/math.2020098zbMath1484.26065OpenAlexW3000618769MaRDI QIDQ2132887

Gou Hu, Hui Lei, Ting-Song Du

Publication date: 28 April 2022

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

Full work available at URL: https://doi.org/10.3934/math.2020098

zbMATH Keywords

Hermite-Hadamard inequalitySimpson inequalityRiemann-Liouville fractional integralsHadamard fractional integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15)

Related Items

Bounds for the remainder in Simpson's inequality via \(n\)-polynomial convex functions of higher order using Katugampola fractional integrals, Some generalized fractional integral Simpson's type inequalities with applications, Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and \(p\)-convex mappings, Caputo-fabrizio fractional Hermite-Hadamard type and associated results for strongly convex functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for generalized fractional integrals
• New approach to a generalized fractional integral
• Integral inequalities for some convex functions via generalized fractional integrals
• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• Bounds of Riemann-Liouville fractional integrals in general form via convex functions and their applications
• Fractional-order boundary value problems with Katugampola fractional integral conditions
• New refinements of fractional Hermite-Hadamard inequality
• A generalization of Simpson's inequality via differentiable mapping using extended \((s,m)\)-convex functions
• Fractional differential equations of Caputo-Katugampola type and numerical solutions
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• The Sugeno integral with respect to \(\alpha\)-preinvex functions
• Ostrowski type inequalities via the Katugampola fractional integrals
• Estimates of upper bound for a function associated with Riemann-Liouville fractional integral via \(h\)-convex functions
• The Minkowski's inequality by means of a generalized fractional integral
• Some fractional integral inequalities for the Katugampola integral operator
• Hermite-Hadamard-Fejér type inequalities for \(p\)-convex functions
• Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function
• An extension of the Hermite-Hadamard inequality for convex and \(s\)-convex functions
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Properties and integral inequalities of Hadamard- Simpson type for the generalized (s,m) -preinvex functions
• HERMITE-HADAMARD TYPE INEQUALITIES FOR P-CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS
• On Hermite--Hadamard type inequalities via generalized fractional integrals
• Hermite-Hadamard and simpson-like type inequalities for differentiable p-quasi-convex functions
• Hermite-Hadamard type inequalities for harmonically convex functions via Katugampola fractional integrals
• Some Ostrowski type inequalities for p-convex functions via generalized fractional integrals
• Exploring s-e-condition and applications to some Ostrowski type inequalities via Hadamard fractional integrals
• Hermite-Hadamard inequalities for differentiable p-convex functions using hypergeometric functions
• Hermite-Hadamard-Fejer type inequalities for s-convex function in the second sense via fractional integrals
• Some inequalities involving Hadamard‐type k‐fractional integral operators
• Weighted Simpson type inequalities for h-convex functions