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Inequalities of Hadamard Type for r-Convex Functions in Carnot Groups |
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| Authors: | |
| Institution: | (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. |
| Keywords: | r-convex function extended mean values Carnot group inequality |
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