On Some Fractional Integral Inequalities of Hermite-Hadamard Type for $r$-Preinvex Functions

DOI10.22034/kjm.2016.40640zbMath1364.26005OpenAlexW3122417863MaRDI QIDQ2981365

Abdullah Akkurt, Hüseyin Yıldırım

Publication date: 8 May 2017

Full work available at URL: http://www.kjm-math.org/article_40640_2cd4008202b92c4593e1db0a9037e1ba.pdf

zbMATH Keywords

preinvex functionsfractional integralsintegral inequalitiesHermite-Hadamard inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (10)

Unnamed Item ⋮ Hermite-Hadamard type fractional integral inequalities for generalized \((r; g, s, m, \varphi)\)-preinvex functions ⋮ FURTHER ON OPIAL TYPE INTEGRAL INEQUALITIES FOR SUPERQUADRATIC FUNCTIONS ⋮ Some refinements of the Hermite-Hadamard inequality with the help of weighted integrals ⋮ Hardy’s Type Inequalities via Conformable Calculus ⋮ Hermite-Hadamard type fractional integral inequalities for products of two MT(r;g,m,φ)-preinvex functions ⋮ Hermite-Hadamard type fractional integral inequalities for generalized beta ( r , g )-preinvex functions ⋮ Unnamed Item ⋮ Some inequalities of Hermite–Hadamard, Ostrowski and Simpson type for (ξ,m,MT)-preinvex functions ⋮ The Minkowski's inequalities utilizing newly defined generalized fractional integral operators

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