Generalizations of some Integral Inequalities for Fractional Integrals

[1] Alomari M., Darus M., On the Hadamard’s inequality for log-convex functions on the coordinates, J. Inequal. Appl. 2009, Article ID 283147, 13 pp.10.1155/2009/283147Search in Google Scholar

[2] Azócar A., Nikodem K., Roa G., Fejér-type inequalities for strongly convex functions, Ann. Math. Sil. 26 (2012), 43-53.Search in Google Scholar

[3] Azpeitia A.G., Convex functions and the Hadamard inequality, Rev. Colombiana Mat. 28 (1994), 7-12.Search in Google Scholar

[4] Díaz R., Pariguan E., On hypergeometric functions and Pochhammer k-symbol, Divulg. Mat. 15 (2007), no. 2, 179-192.Search in Google Scholar

[5] Dragomir S.S., Two mappings in connection to Hadamard’s inequalities, J. Math. Anal. Appl. 167 (1992), no. 1, 49-56.Search in Google Scholar

[6] Dragomir S.S., On some new inequalities of Hermite-Hadamard type for m-convex functions, Tamkang J. Math. 33 (2002), no. 1, 55-65.Search in Google Scholar

[7] Dragomir S.S., Agarwal R.P., Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett. 11 (1998), no. 5, 91-95.10.1016/S0893-9659(98)00086-XOpen DOISearch in Google Scholar

[8] Dragomir S.S., Pearce C.E.M., Selected topics on Hermite-Hadamard inequalities and applications, RGMIA Monographs, Victoria University, Melbourne, 2000.Search in Google Scholar

[9] Farid G., Rehman A.U., Zahra M., On Hadamard inequalities for k-fractional integrals, Nonlinear Funct. Anal. Appl. 21 (2016), no. 3, 463-478.Search in Google Scholar

[10] Fejér L., Über die Fourierreihen, II, Math. Naturwiss. Anz. Ungar. Akad. Wiss. 24 (1906), 369-390 (in Hungarian).Search in Google Scholar

[11] Gill P.M., Pearce C.E.M., Pecaric J., Hadamard’s inequality for r-convex functions, J. Math. Anal. Appl. 215 (1997), no. 2, 461-470.Search in Google Scholar

[12] Iscan I., Hermite-Hadamard-Fejér type inequalities for convex functions via fractional integrals, Stud. Univ. Babes-Bolyai Math. 60 (2015), no. 3, 355-366.Search in Google Scholar

[13] Kirmaci U.S., Klaricic Bakula M., Özdemir M.E., Pecaric J., Hadamard-type inequalities for s-convex functions, Appl. Math. Comput. 193 (2007), no. 1, 26-35.Search in Google Scholar

[14] Klaricic Bakula M., Özdemir M.E., Pecaric J., Hadamard type inequalities for m- convex and (,m)-convex functions, JIPAM. J. Inequal. Pure Appl. Math. 9 (2008), no. 4, Article 96, 12 pp.Search in Google Scholar

[15] Klaricic Bakula M., Pecaric J., Note on some Hadamard-type inequalities, JIPAM. J. Inequal. Pure Appl. Math. 5 (2004), no. 3, Article 74, 9 pp.Search in Google Scholar

[16] Lesnic D., Characterizations of the functions with bounded variation, Proceedings of the International Conference on Theory and Applications of Mathematics and Informatics (ICTAMI 2003), Part A, Acta Univ. Apulensis Math. Inform. 6 (2003), 47-54.Search in Google Scholar

[17] Mubeen S., Habibullah G.M., k-fractional integrals and application, Int. J. Contemp. Math. Sci. 7 (2012), no. 1-4, 89-94.Search in Google Scholar

[18] Sarikaya M.Z., Erden S., On the Hermite-Hadamard-Féjer type integral inequality for convex function, Turkish J. Anal. Number Theory 2 (2014), no. 3, 85-89.10.12691/tjant-2-3-6Open DOISearch in Google Scholar

[19] Sarikaya M.Z., Set E., Yaldiz H., Basak N., Hermite-Hadamard’s inequalities for fractional integrals and related fractional inequalities, Math. Comput. Modelling 57 (2013), no. 9-10, 2403-2407.Search in Google Scholar

[20] Wang J., Zhu C., Zhou Y., New generalized Hermite-Hadamard type inequalities and applications to special means, J. Inequal. Appl. 2013, Article ID 325, 15 pp.10.1186/1029-242X-2013-325Open DOISearch in Google Scholar

[21] Xiang R., Refinements of Hermite-Hadamard type inequalities for convex functions via fractional integrals, J. Appl. Math. Inform. 33 (2015), no. 1-2, 119-125.Search in Google Scholar