建立一些关于（h，m）-凸函数乘积的新Hadamard-型不等式，得到的结果是对通常凸性、第2种意义下的s-凸性、m-凸性、h-凸性意义下的Hadamard-型不等式的推广.
In this paper, we established some new Hadamard-type inequalities for products of (h, m)-convex functions, which are the extended Hadamard-type inequalities for ordinary convexity sense, s-convexity in the second sense, m-convexity sense, and h-convexity sense.
[1] Breckner W W. Stetigkeitsaussagen füreine Klasse verallgemeinerter konvexer funktionen in topologischen linearen Raumen[J]. Pupl Inst Math,1978,23:13-20.
[2] Varošanec S. On h-convexity[J]. J Math Anal Appl,2007, 326:303-311.
[3] Sarikaya M Z, Saglam A, Yildirim H. On some Hadamard-type inequalities for h-convex functions[J]. Journal of Mathematical Inequalities, 2008,2(3):335-341.
[4] Sarikaya M Z, Set E, Özdemir M E. On some new inequalities of Hadamard type involving h-convex functions[J]. Acta Math Univ Comenianae, 2010,LXXIX(2):265-272.
[5] Dragomir S S, Toader G. Some inequalities for m-convex functions[J]. Studia Univ Babes-Bolyai Math, 1993,38(1):21-28.
[6] Avci M, Kavurmaci H,Özdemir M E. New inequalities of Hermite-Hadamard type via s-convex functions in the second sense with applications[J]. Applied Mathematics and Computation,2011,217(12):5171-5176.
[7] Özdemir M E, Yildiz C, Akdemir A O, et al. On some inequalities for s-convex functions and applications[J]. Journal of Inequalities and Applications, 2013,2013(1):1-11.
[8] Özdemir M E, Akdemir A O, Set E. On (h, m)-convexity and Hadamard-type inequalities[J]. Mathematics, 2011,3:1-9.
[9] Dragomir S S, Fitzpatrick S. The Hadamard's inequality for s-convex functions in the second sense[J]. Demonstratio Math, 1999,32(4):687-696.
[10] Pachpatte B G. On some inequalities for convex functions[J]. RGMIA Res Rep Coll,2003,6(E):1-9.
[11] Kirmaci U S,Bakula M K, Özdemir M E, et al. Hadamard-type inequalities for s-convex functions[J]. Appl Math Comput,2007,193(1):26-35.
