On (h-m)-Convexity and Hadamard-Type Inequalities
  In this paper, a new class of convex functions as a generalization of convexity which is called (h-m)-convex functions and some properties of this class is given. We also prove some Hadamard's type inequalities. 
M.E. Ozdemir, Ahmet Ocak Akdemir and Erhan Set
math.CA