Hermite-Hadamard type inequalities for harmonically convex functions via Katugampola fractional integrals

DOI10.18514/MMN.2019.2722zbMath1438.26084MaRDI QIDQ5228262

Ahmet Ocak Akdemir, İlker Mumcu

Publication date: 9 August 2019

Published in: Miskolc Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Hermite-Hadamard inequalityRiemann-Liouville fractional integralsKatugampola fractional integrals

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 (8)

Some parameterized integral inequalities for \(p\)-convex mappings via the right Katugampola fractional integrals ⋮ Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and \(p\)-convex mappings ⋮ Refinements of some fractional integral inequalities for refined \((\alpha,h-m)\)-convex function ⋮ Novel refinements via \(n\)-polynomial harmonically \(s\)-type convex functions and application in special functions ⋮ Unnamed Item ⋮ Generalized trapezoidal type integral inequalities and their applications ⋮ New generalized trapezoidal type integral inequalities with applications ⋮ New generalized fractional versions of Hadamard and Fejér inequalities for harmonically convex functions

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