Some new fractional integral inequalities for s-convex functions

DOI10.22436/jnsa.010.09.01zbMath1412.26015OpenAlexW2753236974MaRDI QIDQ4632682

Dünya Karapınar, Sercan Turhan, İmdat İşcan, Mehmet Kunt

Publication date: 30 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.09.01

zbMATH Keywords

\(s\)-convex functionsRiemann-Liouville fractional integralsOstrowski-type inequalitiesmidpoint-type inequalities

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 (2)

On generalization of some inequalities for generalized harmonically convex functions via local fractional integrals ⋮ AN IMPROVEMENT OF HÖLDER INTEGRAL INEQUALITY ON FRACTAL SETS AND SOME RELATED SIMPSON-LIKE INEQUALITIES

Cites Work

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• Ostrowski type inequalities for functions whose derivatives are \(s\)-convex in the second sense
• Some remarks on \(s\)-convex functions
• Ostrowski type inequalities for harmonically s-convex functions
• Generalized Ostrowski type inequalities for local fractional integrals
• New Generalizations of Ostrowski-Like Type Inequalities for Fractional Integrals
• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE

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