Note on the Ostrowski type inequalities for fractional integrals

DOI10.1007/s10013-014-0056-4zbMath1298.26026OpenAlexW2153861857MaRDI QIDQ2510595

Hatice Filiz, Mehmet Zeki Sarikaya

Publication date: 1 August 2014

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-014-0056-4

zbMATH Keywords

Hölder inequalityOstrowski's inequalityRiemann-Liouville fractional integration

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (9)

Weighted Ostrowski, trapezoid and midpoint type inequalities for Riemann-Liouville fractional integrals ⋮ Further inequalities for the generalized k-g-fractional integrals of functions with bounded variation ⋮ Trapezoid type inequalities for generalized Riemann-Liouville fractional integrals of functions with bounded variation ⋮ Inequalities of Jensen's type for generalized k-g-fractional integrals of function $f$ for which the composite f ○ g^-1 is convex ⋮ On Ostrowski type inequalities ⋮ On generalized fractional integral inequalities of Ostrowski type ⋮ Some inequalities for the generalized k-g-fractional integrals of convex functions ⋮ Fractional Ostrowski type inequalities for bounded functions ⋮ Ostrowski and trapezoid type inequalities for Riemann-Liouville fractional integrals of absolutely continuous functions with bounded derivatives

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New inequalities of Ostrowski type for mappings whose derivatives are \(s\)-convex in the second sense via fractional integrals
• On Minkowski and Hermite-Hadamard integral inequalities via fractional integration
• Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means
• Ostrowski type inequalities for functions whose derivatives are \(s\)-convex in the second sense
• On an inequality of Ostrowski type in three independent variables
• On new inequalities via Riemann-Liouville fractional integration
• The Ostrowski's integral inequality for Lipschitzian mappings and applications
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Über die Absolutabweichung einer differenzierbaren Funktion von ihrem Integralmittelwert
• On weighted Montogomery identities for Riemann-Liouville fractional integrals
• On the Hadamard's type inequalities for L-Lipschitzian mapping

This page was built for publication: Note on the Ostrowski type inequalities for fractional integrals