Some new inequalities for fractional integral operators

DOI10.1007/978-3-030-84122-5_26zbMath1496.26021OpenAlexW4299108246MaRDI QIDQ2080487

Jichang Kuang

Publication date: 7 October 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-84122-5_26

zbMATH Keywords

convex functionintegral inequalityfractional integral operatorfractional area balance operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (1)

An extension of Carlson's inequality

Cites Work

• Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function
• On generalized Grüss type inequalities for \(k\)-fractional integrals
• Generalized conformable fractional operators
• On a new class of fractional operators
• Hermite-Hadamard-type inequalities involving \(\psi\)-Riemann-Liouville fractional integrals via \(s\)-convex functions
• New generalized reverse Minkowski and related integral inequalities involving generalized fractional conformable integrals
• Jensen-Mercer inequality for GA-convex functions and some related inequalities
• On the \(\psi\)-Hilfer fractional derivative
• (k,s)-Riemann-Liouville fractional integral and applications
• Fractional trapezium-type inequalities for strongly exponentially generalized preinvex functions with applications
• Inequalities for the area balance of absolutely continuous functions
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