The left Rieaman-Liouville fractional Hermite-Hadamard type inequalities for quasi-convex functions

Abstract

 Recently, in [5], with a new approach, the authors obtained a new fractional Hermite-Hadamard type inequality for convex functions by using only the left Riemann-Liouville fractional integral. They also had new equalities to have new fractional trapezoid and midpoint type inequalities for convex functions, In this papers, we will use the same equalities to have new fractional trapezoid and  midpoint type inequalities for quasi-convex functions. Our results generalise the study [3].

Keywords

• Quasi-convex functions,Hermite-Hadamard inequality,Left Rieaman-Liouville fractional integral

Kaynakça

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5. M. Kunt, D. Karapınar, S. Turhan, ˙I. ˙Is¸can, The left Rieaman-Liouville fractional Hermite-Hadamard type inequalities for convex functions, RGMIA Research Report Collection, 20 (2017), Article 101, 8 pp.
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7. Y. Zhou, Basic theory of fractional differential equations, World Scientific, New Jersey (2014).