K-fractional integral inequalities of Hadamard type for (h − m)−convex functions

DOI10.22034/cmde.2019.9462zbMath1449.26028OpenAlexW2989705979MaRDI QIDQ5211864

Qurat ul Ain, Atiq Ur Rehman, Ghulam Farid

Publication date: 28 January 2020

Full work available at URL: https://cmde.tabrizu.ac.ir/article_9462_090c2defb846ad8871f5652fa0bde183.pdf

zbMATH Keywords

Riemann-Liouville fractional integralsRiemann-Liouville \(k\)-fractional integrals\((h -m)\)-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)

Related Items (13)

Generalization of some fractional versions of Hadamard inequalities via exponentially \((\alpha, h-m)\)-convex functions ⋮ Fractional integral versions of Hermite-Hadamard type inequality for generalized exponentially convexity ⋮ On an integral and consequent fractional integral operators via generalized convexity ⋮ On bounds of fractional integral operators containing Mittag-Leffler functions for generalized exponentially convex functions ⋮ Refinements of some fractional integral inequalities for refined \((\alpha,h-m)\)-convex function ⋮ Inequalities for generalized Riemann-Liouville fractional integrals of generalized strongly convex functions ⋮ Fractional versions of Hadamard-type inequalities for strongly exponentially \((\alpha, h - m)\)-convex functions ⋮ Fractional Minkowski-type integral inequalities via the unified generalized fractional integral operator ⋮ Bounds of a unified integral operator via exponentially \((s,m)\)-convexity and their consequences ⋮ Some refinements of the Hermite-Hadamard inequality with the help of weighted integrals ⋮ Hermite-Hadamard type inequalities via weighted integral operators ⋮ Unnamed Item ⋮ Study of fractional integral inequalities involving Mittag-Leffler functions via convexity

Cites Work

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