On some Hermite-Hadamard inequalities involving \(k\)-fractional operators

DOI10.1186/s13660-020-02527-1zbMath1504.26071OpenAlexW3165575330MaRDI QIDQ2072789

Muhammad Samraiz, Sajid Iqbal, Muhammad Aamir, Awais Younus, Shan-He Wu

Publication date: 26 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-020-02527-1

zbMATH Keywords

convex functionfractional integralsHermite-Hadamard inequalities

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (2)

Estimates of trapezium-type inequalities for \(h\)-convex functions with applications to quadrature formulae ⋮ Certain generalized Riemann-Liouville fractional integrals inequalities based on exponentially \((h, m)\)-preinvexity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hermite-Hadamard-type inequalities via \((\alpha ,m)\)-convexity
• On the Hermite-Hadamard inequality and other integral inequalities involving two functions
• On some inequalities of Hermite-Hadamard type via \(m\)-convexity
• Hadamard-type inequalities for s-convex functions
• Convex functions, partial orderings, and statistical applications
• On new inequalities via Riemann-Liouville fractional integration
• On Hadamard-type inequalities involving several kinds of convexity
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Hermite–Hadamard-type inequalities for Riemann–Liouville fractional integrals via two kinds of convexity

This page was built for publication: On some Hermite-Hadamard inequalities involving \(k\)-fractional operators