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

Yıl 2017, Cilt: 5 Sayı: 2, 222 - 228, 30.03.2017

Dunya Karapinar Mehmet Kunt

Öz

 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].

Anahtar Kelimeler

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

Kaynakça

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• U. S. Kırmacı, Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula, Appl. Math. Comp. 147 (2004) 137-146.
• 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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