论文信息 - HADAMARD TYPE INEQUALITIES FORm-CONVEX AND (,m )-CONVEX FUNCTIONS

HADAMARD TYPE INEQUALITIES FORm-CONVEX AND (,m )-CONVEX FUNCTIONS

In this paper we establish several Hadamard type inequalities for differentiable m- convex and (,m )-convex functions. We also establish Hadamard type inequalities for products of two m-convex or (,m )-convex functions. Our results generalize some results of B.G. Pach- patte as well as some results of C.E.M. Pearce and J. Peˇ cari´ c.

[1] C. E. M. Pearce,et al. Inequalities for differentiable mappings with application to special means and quadrature formulæ , 2000, Appl. Math. Lett..

[2] D. Varberg. Convex Functions , 1973 .

[3] A. Bruckner,et al. SOME FUNCTION CLASSES RELATED TO THE CLASS OF CONVEX FUNCTIONS , 1962 .

[4] Ravi P. Agarwal,et al. Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula , 1998 .

[5] B. G. Pachpatte,et al. On Some Inequalities for Convex Functions , 2003 .