Some Hermite-Jensen-Mercer type inequalities for \(k\)-Caputo-fractional derivatives and related results

DOI10.1186/s13662-020-02693-yzbMath1482.26050OpenAlexW3033931532MaRDI QIDQ2078462

Waqas Nazeer, Ya Liu, Saad Ihsan Butt, Jamshed Nasir, Shupeng Zhao, Muhammad Awais Umar

Publication date: 28 February 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02693-y

zbMATH Keywords

convex functionsJensen inequalityHermite-Hadamard inequalitiesJensen-Mercer inequality\(k\)-Caputo fractional derivatives

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (5)

Unifications of continuous and discrete fractional inequalities of the Hermite-Hadamard-Jensen-Mercer type via majorization ⋮ New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization ⋮ K-symbol fractional order discrete-time models of Lozi system ⋮ New extensions of Hermite-Hadamard inequality using \(k\) fractional Caputo derivatives ⋮ Numerical approximation of fractional-order Volterra integrodifferential equation

Cites Work

• A variant of Jensen's inequality of Mercer's type for operators with applications
• Remarks on fractional derivatives
• Some new Hermite-Hadamard type inequalities for \(s\)-convex functions and their applications
• Hermite-Jensen-Mercer type inequalities for Caputo fractional derivatives
• Bounds for the normalized Jensen-Mercer functional
• Refinements of the operator Jensen-Mercer inequality
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some Hermite-Jensen-Mercer type inequalities for \(k\)-Caputo-fractional derivatives and related results