Inequalities of Jensen's type for generalized k-g-fractional integrals of function $f$ for which the composite f ○ g^-1 is convex

DOI10.7153/fdc-2018-08-08zbMath1424.26049OpenAlexW2883591213MaRDI QIDQ4626415

Sever Silvestru Dragomir

Publication date: 27 February 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-2018-08-08

zbMATH Keywords

convex functionsHermite-Hadamard type inequalitiesHadamard fractional integralsJensen-type inequalitiesgeneralized Riemann-Liouville fractional integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities involving other types of functions (26D07)

Related Items (9)

Inequalities for a unified integral operator for strongly \((\alpha,m)\)-convex function and related results in fractional calculus ⋮ Derivation of bounds of integral operators via convex functions ⋮ Bounds of a unified integral operator for \((s,m)\)-convex functions and their consequences ⋮ On an integral and consequent fractional integral operators via generalized convexity ⋮ On boundedness of unified integral operators for quasiconvex functions ⋮ Unified integral operator inequalities via convex composition of two functions ⋮ Bounds of a unified integral operator via exponentially \((s,m)\)-convexity and their consequences ⋮ Derivation of bounds of an integral operator via exponentially convex functions ⋮ Refinements of some integral inequalities for \((s, m)\)-convex functions

Cites Work

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• Inequalities of Ostrowski's type for m- and (alpha,m)- logarithmically convex functions via Riemann-Liouville Fractional integrals
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