On the more general Hermite-Hadamard type inequalities for convex functions via conformable fractional integrals

DOI10.1515/taa-2017-0011zbMath1384.26060OpenAlexW2790855018MaRDI QIDQ1709795

İlker Mumcu, Erhan Set, Muhamet Emin Özdemir

Publication date: 6 April 2018

Published in: Topological Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/taa-2017-0011

zbMATH Keywords

Hermite-Hadamard inequalityconformable fractional integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (4)

Hermite-Hadamard-Fejér inequalities for conformable fractional integrals via preinvex functions ⋮ Conformable integral inequalities of the Hermite-Hadamard type in terms of GG- and GA-convexities ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• On conformable fractional calculus
• On Minkowski and Hermite-Hadamard integral inequalities via fractional integration
• Two mappings in connection to Hadamard's inequalities
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On new inequalities of Hermite-Hadamard-Fejér type for convex functions via fractional integrals
• A new definition of fractional derivative
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• New results using fractional integrals
• Hadamard-type inequalities for generalized convex functions
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• REFINEMENTS OF HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
• HERMITE-HADAMARD TYPE INEQUALITIES FOR TWICE DIFFERENTIABLE m-CONVEX FUNCTIONS VIA CONFORMABLE FRACTIONAL INTEGRALS
• Fractional Hermite-Hadamard inequalities for differentiable s-Godunova-Levin functions
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