Fractional Ostrowski type inequalities for bounded functions

DOI10.1186/S13660-020-02381-1zbMath1503.26048OpenAlexW3032666493MaRDI QIDQ2069419

Hüseyin Budak, Sabah Iftikhar, Poom Kumam, Samet Erden, Mehmet Zeki Sarikaya

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02381-1

zbMATH Keywords

bounded functionsfractional integralsOstrowski-type inequalitiesmidpoint-type inequalities

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Convexity of real functions in one variable, generalizations (26A51)

Related Items (3)

Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and \(p\)-convex mappings ⋮ Generalized perturbed Ostrowski-type inequalities ⋮ Fractional integral operators in linear spaces

Cites Work

• 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
• Note on the Ostrowski type inequalities for fractional integrals
• On the Hermite–Hadamard-type inequalities for co-ordinated convex function via fractional integrals
• Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral
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