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
From page
97
To page
108
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
Record number
2738566
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