Some inequalities obtained by fractional integrals of positive real orders

DOI10.1186/s13660-020-02418-5zbMath1503.26052OpenAlexW3033763225MaRDI QIDQ2069463

Yakup Taşdan, Erhan Set, Mustafa Çağrı Gürbüz

Publication date: 20 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-020-02418-5

zbMATH Keywords

Hadamard type inequalitiesKatugampola fractional integrals\( \rho \)-convex functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Fractional ordinary differential equations (34A08)

Related Items (3)

Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and \(p\)-convex mappings ⋮ Some \(\delta\)-tempered fractional Hermite-Hadamard inequalities involving harmonically convex functions and applications ⋮ Estimation of the parameterized integral inequalities involving generalized \(p\)-convex mappings on fractal sets and related applications

Cites Work

• New inequalities of Hermite-Hadamard type for convex functions with applications
• New inequalities of Hermite-Hadamard type via \(s\)-convex functions in the second sense with applications
• New approach to a generalized fractional integral
• Sharp integral inequalities of the Hermite-Hadamard type
• A New Approach to Generalized Fractional Derivatives
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