On new inequalities of Hermite-Hadamard-Fejer type for quasi-geometrically convex functions via fractional integrals

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1. es [1] L. Fejér, Uber die Fourierreihen, II. Math. Naturwise. Anz Ungar. Akad., Wiss 24 (1906), 369-390, (in Hungarian). [2] J. Hadamard, Étude sur les propriétés des fonctions entières et en particulier d’une fonction considérée par Riemann. J. Math. Pures Appl. 58 (1893), 171-215. [3] İ. İşcan, Hermite-Hadamard-Fejer type inequalities for convex functions via fractional integrals, arXiv preprint arXiv:1404.7722 (2014). [4] İ. İşcan, Generalization of different type integral inequalities for s-convex functions via fractional integrals. Applicable Analysis(2013), doi: 10.1080/00036811.2013.851785. [5] İ. İşcan, New general integral inequalities for quasi-geometrically convex functions via fractional integrals. J. Inequal. Appl. (2013), 2013(491). [6] İ. İşcan, On generalization of different type integral inequalities for s-convex functions via fractional integrals. Mathematical Sciences and Applications E-Notes 2(1) (2014), 55-67. [7] A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and applications of fractional differential equations. Elsevier. Amsterdam, 2006. [8] M. Kunt, İ. İşcan, On new inequalities of Hermite-Hadamard-Fejer type for GA-convex functions via fractional integrals. RGMIA Research Report Collection 18(2015), Article 108, 12 pp. [9] M. A. Latif, S. S. Dragomir and E. Momaniat, Some Fejer type integral inequalities for geometricallyarithmetically-convex functions with applications. RGMIA Research Report Collection 18(2015), Article 25,18pp. [10] C. P. Niculescu, Convexity according to the geometric mean. Math. Inequal. Appl. 3 (2) (2000), 155-167. Available online at http://dx.doi.org/10.7153/mia-03-19. [11] C. P. Niculescu, Convexity according to means. Math. Inequal. Appl. 6 (4) (2003), 571-579. Available online at http://dx.doi.org/10.7153/mia-06-53. [12] M.Z. Sarıkaya, On new Hermite Hadamard Fejér type integral inequalities. Stud. Univ. Babe¸s-Bolyai Math. 57(3) (2012), 377–386. [13] Erhan Set, İ. İşcan, M. Zeki Sarikaya, M. Emin Ozdemir, On new inequalities of Hermite-Hadamard-Fejer type for convex functions via fractional integrals. Applied Mathematics and Computation 259 (2015) 875–881. [14] K.-L. Tseng, G.-S. Yang and K.-C. Hsu, Some inequalities for differentiable mappings and applications to Fejér inequality and weighted trapezoidal formula. Taiwanese journal of Mathematics 15(4) (2011), 1737-1747. [15] J. Wang, X. Li, M. Feckan and Y. Zhou, Hermite-Hadamard-type inequalities for Riemann-Liouville fractional integrals via