| [1] | Antczak, T., “Mean value in invexity analysis,” Nonlinear Analysis, 60. 1471-1484. 2005. |
| |
| [2] | Barani, A., Ghazanfari, A.G. and Dragomir, S.S., “Hermite-Hadamard inequality for functions whose derivatives absolute values are preinvex,” RGMIA Res. Rep. Coll., 14. Article 64. 2011. |
| |
| [3] | Bakula, M.K., Ozdemir, M.E. and Pečarić, J., “Hadamard type inequalities for m-convex and (,m)-convex functions,” J. Inequal. Pure Appl. Math. 9. Article 96. 2008. |
| |
| [4] | Dahmani, Z., “On Minkowski and Hermite-Hadamard integral inequalities via fractional via fractional integration,” Ann. Funct. Anal. 1 (1). 51-58. 2010. |
| |
| [5] | Dragomir, S.S. and Agarwal, R.P., “Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula,” Appl. Math. Lett., 11. 91-95. 1998. |
| |
| [6] | S.S., Dragomir and C.E.M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000. Available: http://rgmia.org/monographs/hermite_hadamard.html |
| |
| [7] | Gorenflo, R. and Mainardi, F., Fractional calculus; integral and differential equations of fractional order, Springer Verlag, Wien, 1997, 223-276. |
| |
| [8] | Iscan, I., “New estimates on generalization of some integral inequalities for s-convex functions and their applications,” International Journal of Pure and Applied Mathematics, 86 (4). 727-746. 2013. |
| |
| [9] | Iscan, I., “A new generalization of some integral inequalities for (α,m)-convex functions,” Mathematical Science, 7. 2013. |
| |
| [10] | Hanson, M.A., “On sufficiency of the Kuhn-Tucker conditions,” J. Math. Anal. Appl,. 80. 545-550. 1981. |
| |
| [11] | Kırmacı, U.S., Bakula, M.K., Ozdemir, M.E. and Pecaric, J., “Hadamard’s type inequalities for S-convex functions,” Appl. Math. Comp., 193. 26-35. 2007. |
| |
| [12] | Miller, S., and Ross, B., An introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley & Sons, USA, 1993, 2. |
| |
| [13] | Noor, M. Aslam, “Hadamard integral inequalities for product of two preinvex function,” Nonl. anal. Forum, 14. 167-173. 2009. |
| |
| [14] | Noor, M. Aslam, “Some new classes of nonconvex functions,” Nonl. Funct. Anal. Appl., 11. 165-171. 2006. |
| |
| [15] | Noor, M. Aslam, “On Hadamard integral inequalities invoving two log-preinvex functions,” J. Inequal. Pure Appl. Math., 8 (3). 1-6. Article 75. 2007. |
| |
| [16] | Noor, M. Aslam, “Hermite-Hadamard integral inequalities for log-preinvex functions,” J. Math. Anal. Approx. Theory, 2. 126-131. 2007. |
| |
| [17] | Podlubni, I., Fractional Differential Equations, Academic Press, San Diego, 1999. |
| |
| [18] | Pearce, C.E.M. and Pečarić, J., “Inequalities for diffrentiable mapping with application to special means and quadrature formula,” Appl. Math. Lett., 13. 51-55. 2000. |
| |
| [19] | Sarıkaya, M.Z., Set, E., Yaldız, H. and Başak, N., “Hermite-Hadamard’s inequalities for fractional integrals and related fractional inequalities,” Mathematical and Computer Modelling. |
| |
| [20] | Sarıkaya, M.Z. and Ogunmez, H., “On new inequalities via Riemann-Liouville fractional integration,” Abstract and Applied Analysis, 2012. Article ID 428983. 10 pages. |
| |
| [21] | Sarıkaya, M.Z., Set, E. and Özdemir, M.E., “On some new inequalities of Hadamard type involving h-convex functions,” Acta Nath. Univ. Comenianae, vol. LXXIX, 2. 265-272. 2010. |
| |
| [22] | Set, E., “New inequalities of Ostrowski type for mapping whose derivatives are S-convex in the second sense via fractional integrals,” Computers and Math. with Appl., 63. 1147-1154. 2012. |
| |
| [23] | Yang, X.M., and Li, D., “On properties of preinvex functions,” J. Math. Anal. Appl. 256. 229-241. 2001. |
| |
| [24] | Mohan, S.R. and Neogy, S.K., “On invex sets and preinvex functions,” J. Math. Anal. Appl., 189. 901-908. 1995. |
| |
| [25] | Weir, T. and Mond, B., “Preinvex functions in multiple objective optimization,” Journal of Mathematical Analysis and Applications, 136. 29-38. 1998. |
| |
| [26] | Pini, R., “Invexity and generalized Convexity,” Optimization 22, 513-525. 1991. |
| |