On generalization of trapezoid type inequalities for s-convex functions with generalized fractional integral operators

DOI10.2298/FIL1806153UzbMath1499.26194MaRDI QIDQ5023934

Mehmet Zeki Sarikaya, Erhan Set, Fuat Usta, Hüseyin Budak

Publication date: 28 January 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

Hermite-Hadamard inequality\(s\)-convex functionfractional integral operatorstrapezoid inequality

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) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (11)

Generalized Hermite-Hadamard type inequalities involving fractional integral operators ⋮ New Hadamard-type inequalities for \(E\)-convex functions involving generalized fractional integrals ⋮ Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals ⋮ Hermite-Hadamard type inequalities for the generalized \(k\)-fractional integral operators ⋮ Study of results of Katugampola fractional derivative and Chebyshev inequailities ⋮ Hermite-Hadamard type inequalities for convex functions via generalized fractional integral operators ⋮ Unnamed Item ⋮ New Hermite-Hadamard type inequalities for product of different convex functions involving certain fractional integral operators ⋮ Ostrowski type inequalities for \(s\)-convex functions via \(q\)-integrals ⋮ Generation of new fractional inequalities via \(n\) polynomials \(s\)-type convexity with applications ⋮ Hermite-Hadamard-Fejér type inequalities involving generalized fractional integral operators

Cites Work

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• On Ostrowski type inequalities
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals via s-convex functions and applications to special means
• Generalized Hermite-Hadamard type integral inequalities for fractional integrals

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