(1) Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China;(2) Department of Applied Mathematics, Hunan Institute of Science and Technology, Yueyang 414000, Hunan, China
Abstract:
For a Carnot group G,we establish the relationship between extended mean values and r-convexfunctions which is introduced in this paper,which is a class of inequalities of Hadamard type for r-convexfunction on G.