Generalizations of some integral inequalities for fractional integrals

DOI10.1515/amsil-2017-0010zbMath1400.26021OpenAlexW2761289257MaRDI QIDQ1790439

Ghulam Farid, Atiq Ur Rehman

Publication date: 2 October 2018

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/amsil-2017-0010

zbMATH Keywords

convex functionsHölder inequalityHadamard inequalityfractional integralsFejér-Hadamard inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (15)

General fractional integral inequalities for convex and \(m\)-convex functions via an extended generalized Mittag-Leffler function ⋮ Unnamed Item ⋮ Some New Hermite–Hadamard Type Integral Inequalities via Caputo k–Fractional Derivatives and Their Applications ⋮ Some New Hermite–Hadamard Type Integral Inequalities for Twice Differentiable Mappings and Their Applications ⋮ Some New Hermite–Hadamard Type Integral Inequalities for Twice Differentiable Generalized ((h 1, h 2); (η 1, η 2))-Convex Mappings and Their Applications ⋮ Some Different Type Integral Inequalities and Their Applications ⋮ Some New Refinement of Gauss–Jacobi and Hermite–Hadamard Type Integral Inequalities ⋮ New Trapezium Type Inequalities for Preinvex Functions Via Generalized Fractional Integral Operators and Their Applications ⋮ Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function ⋮ New generalized trapezoidal type integral inequalities with applications ⋮ Some new \(k\)-fractional trapezium-like integral inequalities via generalized relative semi-\((r;m,h_1,h_2)\)-preinvex mappings and applications ⋮ Unnamed Item ⋮ New Hermite-Hadamard-Fejér inequalities via k-fractional integrals for differentiable generalized nonconvex functions ⋮ Some integral inequalities for approximately h—convex functions and their applications ⋮ Some new bounds of Gauss-Jacobi and Hermite-Hadamard-type integral inequalities

Cites Work

• Hadamard-type inequalities for s-convex functions
• On the Hadamard's inequality for log-convex functions on the coordinates
• Two mappings in connection to Hadamard's inequalities
• Hadamard's inequality for \(r\)-convex functions
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• New generalized Hermite-Hadamard type inequalities and applications to special means
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Hermite-Hadamard-Fejer type inequalities for convex functions via fractional integrals
• REFINEMENTS OF HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalizations of some integral inequalities for fractional integrals