Several New Integral Inequalities via Caputo k-Fractional Derivative Operators

DOI10.1142/S1793557121501503zbMath1478.26016MaRDI QIDQ5013438

Saad Ihsan Butt, Barış Çelİk, Muhammad Awais Umar, Muhamet Emin Özdemir

Publication date: 30 November 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

convex functionHölder inequalityHermite-Hadamard inequality\(s\)-convex functionpower mean inequalityweighted Hölder inequality\(s\)-Godunova-Levin type\(\eta\)-quasi-convex functionCaputo \(k\)-fractional integral

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15)

Related Items (2)

Some refinements of Hermite-Hadamard inequality using k-fractional Caputo derivatives ⋮ New extensions of Hermite-Hadamard inequality using \(k\) fractional Caputo derivatives

Cites Work

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• Some remarks on \(s\)-convex functions
• Inequalities for Beta and Gamma functions via some classical and new integral inequalities
• Some inequalities for the \(s\)-Godunova-Levin type functions
• On φ-convex functions
• Existence and Ulam stability results for nonlinear hybrid implicit Caputo fractional differential equations
• Existence and uniqueness of solutions for nonlinear implicit Caputo-Hadamard fractional differential equations with nonlocal conditions

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