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1. On Generalization of Midpoint and Trapezoid Type Inequalities Involving Fractional Integrals.

Author

Sarikaya, Mehmet Zeki and Sonmezoglu, Siimeyye

Subjects
*FRACTIONAL integrals, *TRAPEZOIDS, *CONVEX functions, *DIFFERENTIABLE functions, *MATHEMATICAL models
Abstract

In this paper, we first give a lemma for twice differentiable function to obtain trapezoid and midpoint inequalities. By using this lemma, we establish some inequalities for mapping whose second derivatives in absolute value are convex via Riemann-Liouville fractional integrals. These results generalize the midpoint and trapezoid inequalities involving Riemann-Liouville fractional integrals given in earlier studies. [ABSTRACT FROM AUTHOR]

Published
2020

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