Generalized Hermite-Hadamard-Fejer type inequalities for GA-convex functions via Fractional integral

[1] S.S. Dragomir, Hermite-Hadamard's type inequalities for convex funtions of selfadjoint operators in Hilbert spaces, Linear Algebra Appl. 436 (2012), no. 5, 1503-1515.Search in Google Scholar

[2] S.S. Dragomir and C.E.M. Pearce, Selected topics on Hermite-Hadamard type inequalities and applications, RGMIA Monographs, 2000. Available online at http://rgmia.vu.edu.au/monographs/hermitehadamard.html.Search in Google Scholar

[3] J. Hua, B.-Y. Xi, and F. Qi, Hermite-Hadamard type inequalities for geometrically s-convex functions, Commun.Korean Math.Soc.29 (2014), No.1, pp.51-63.Search in Google Scholar

[4] D-Y. Hwang, Some inequalities for di erentiable convex mapping with application to weighted trapezoidal formula and higher moments of random variables, Applied Mathematics and Com- putation, 217 (2011), 9598-9605.10.1016/j.amc.2011.04.036Search in Google Scholar

[5] İşcan, New estimates on generalization of some integral inequalities for s-convex functions and their applications, International Journal of Pure and Applied Mathematics, 86, No.4 (2013).10.12732/ijpam.v86i4.11Search in Google Scholar

[6] İşcan, Hermite-Hadamard type inequalities for GA-s-convex functions, Le Matematiche, LXIX (2014)-Fasc. II, pp. 129-146.Search in Google Scholar

[7] A. P. Ji, T. Y. Zhang, F. Qi, Integral Inequalities of Hermite Hadamard Type ( ;m)-GA convex Functions, Journal of Function Space and Applications, 2013 (2013), Article ID 823856, 8 pages.Search in Google Scholar

[8] A. A. Kilbas H. M. Srivastava, J. J. Trujillo, Theory and applications of fractional differential equations.Elsevier, Amsterdam (2006)Search in Google Scholar

[9] M.A. Latif, S. S. Dragomir, E. Momoniat, Some Fejér type integral inequalities related with geometrically-arithmetically-convex functions with applications, (Submitted).Search in Google Scholar

[10] M.A. Latif, New Hermite Hadamard type integral inequalities for GA-convex functions with applications. Volume 34, Issue 4 (Nov 2014).10.1515/anly-2012-1235Search in Google Scholar

[11] 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-03-19.10.7153/mia-03-19Search in Google Scholar

[12] 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-06-53.10.7153/mia-06-53Search in Google Scholar

[13] A. P. Prudnikov, Y. A. Brychkov, O. J. Marichev, Integral and series, Elementary Functions, Vol. 1,Nauka, Moscow, 1981.Search in Google Scholar

[14] Y. Shuang, H.-P. Yin, and F. Qi, Hermite-Hadamard type integral inequalities for geometric- arithmetically s-convex functions, Analysis (Munich) 33 (2) (2013), 197-208. Available online at http://dx.doi.org/10.1524/anly.2013.1192.10.1524/anly.2013.1192Search in Google Scholar

[15] T.-Y. Zhang, A.-P. Ji and F. Qi, Some inequalities of Hermite-Hadamard type for GA-convex functions with applications to means, Le Matematiche, Vol. LXVIII (2013) - Fasc. I, pp. 229-239. doi: 10.4418/2013.68.1.17Search in Google Scholar

[16] X.-M. Zhang, Y.-M. Chu, and X.-H. Zhang, The Hermite-Hadamard Type Inequality of GA- Convex Functions and Its Application, Journal of Inequalities and Applications, Volume 2010, Article ID 507560, 11 pages. doi:10.1155/2010/507560.Search in Google Scholar