New refinements of fractional Hermite-Hadamard inequality

DOI10.1007/s13398-017-0448-xzbMath1409.26013OpenAlexW2764159062MaRDI QIDQ1736961

Muhammad Aslam Noor, Muhammad Uzair Awan, Khalida Inayat Noor, Ting-Song Du

Publication date: 26 March 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-017-0448-x

zbMATH Keywords

fractionalinequalitiesconvexstrongly convexHermite-HadamardKatugampola fractional integrals

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 (11)

Higher order strongly general convex functions and variational inequalities ⋮ Some parameterized integral inequalities for \(p\)-convex mappings via the right Katugampola fractional integrals ⋮ On New Extensions of Hermite-Hadamard Inequalities for Generalized Fractional Integrals ⋮ Riemann-Liouville fractional integral operators with respect to increasing functions and strongly \((\alpha, m)\)-convex functions ⋮ Hardy’s Type Inequalities via Conformable Calculus ⋮ Relative strongly exponentially convex functions ⋮ Higher order strongly \(m\)-convex functions ⋮ Characterizations of higher order strongly generalized convex functions ⋮ Some Newton's like inequalities with applications ⋮ Unnamed Item ⋮ Hermite-Hadamard type inequalities for operator (p,h)-convex functions

Cites Work

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• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• On Hermite--Hadamard type inequalities via generalized fractional integrals
• A New Approach to Generalized Fractional Derivatives

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