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

Year 2017, Volume: 5 Issue: 2, 222 - 228, 30.03.2017

Dunya Karapinar Mehmet Kunt

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

References

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