Title of article :
Fractional Simpson-Type Inequalities for Twice Differentiable Functions
Author/Authors :
Budak ، Huseyin Department of Mathematics - Faculty of Science and Arts - Duzce University , Kara ، Hasan Department of Mathematics - Faculty of Science and Arts - Duzce University , Hezenci ، Fatih Department of Mathematics - Faculty of Science and Arts - Duzce University
Abstract :
In the literature, several papers are devoted to inequalities of Simpson-type in the case of differentiable convex functions and fractional versions. Moreover, some papers are focused on inequalities of Simpson-type for twice differentiable convex functions. In this research article, we obtain an identity for twice differentiable convex functions. Then, we prove several fractional inequalities of Simpson-type for convex functions.
Keywords :
Simpson type inequalities , Twice differentiable convex functions , Riemann , Liouville fractional integrals , Fractional calculus
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
