Title of article :
On New Extensions of Hermite-Hadamard Inequalities for Generalized Fractional Integrals
Author/Authors :
Budak ، Huseyin Department of Mathematics - Faculty of Science and Arts - Duzce University , Pehlivan ، Ebru Department of Mathematics - Faculty of Science and Arts - Duzce University , Kosem ، Pinar Department of Mathematics - Faculty of Science and Arts - Duzce University
Abstract :
In this paper, we establish some Trapezoid and Mid-point type inequalities for generalized fractional integrals by utilizing the functions whose second derivatives are bounded. We also give some new inequalities for k-Riemann-Liouville fractional integrals as special cases of our main results. We also obtain some HermiteHadamard type inequalities by using the condition f (a+b - x) ≥ f (x) for all x ∈[a, a+b/2] instead of convexity.
Keywords :
Hermite , Hadamard inequality , Convex function , Bounded function
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
