Ostrowski type inequalities for \(k\)-\(\beta\)-convex functions via Riemann-Liouville \(k\)-fractional integrals

DOI10.1007/S12215-020-00571-WzbMath1482.26023OpenAlexW3101938522WikidataQ114221100 ScholiaQ114221100MaRDI QIDQ2243666

Fahim Lakhal

Publication date: 11 November 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00571-w

zbMATH Keywords

Ostrowski inequalityHölder inequalitypower mean inequality\(k\)-\(\beta\)-convex functionRiemann-Liouville \(k\)-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) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Ostrowski type inequalities for functions whose derivatives are \(s\)-convex in the second sense
• Convex functions, partial orderings, and statistical applications
• Über die Absolutabweichung einer differenzierbaren Funktion von ihrem Integralmittelwert
• Inequalities of Hermite-Hadamard Type for h-Convex Functions on Linear Spaces
• Ostrowski type fractional integral inequalities for s -Godunova-Levin functions via k -fractional integrals
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Ostrowski type inequalities for \(k\)-\(\beta\)-convex functions via Riemann-Liouville \(k\)-fractional integrals