Fractional integral operators in linear spaces

DOI10.1007/978-3-030-84721-0_22zbMath1496.26006OpenAlexW4237337029MaRDI QIDQ2080618

Jichang Kuang

Publication date: 9 October 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-84721-0_22

zbMATH Keywords

convex functionlinear spaceintegral inequalityfractional integral operatorfractional area balance operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integral operators (47G10) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• Grüss type integral inequalities for generalized Riemann-Liouville \(k\)-fractional integrals
• 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
• Fractional Ostrowski type inequalities for bounded functions
• 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
• On the Hermite–Hadamard-type inequalities for co-ordinated convex function via fractional integrals
• Norm Inequalities for Generalized Laplace Transforms
• Inequalities for the area balance of absolutely continuous functions

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