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Inequalities of Hadamard Type for r-Convex Functions in Carnot Groups
Authors:Ming-bao?Sun  author-information"  >  author-information__contact u-icon-before"  >  mailto:sun_mingbao@.com"   title="  sun_mingbao@.com"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Xiao-ping?Yang
Affiliation:(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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