Acta Mathematicae Applicatae Sinica

, Volume 20, Issue 1, pp 123–132

Inequalities of Hadamard Type for r-Convex Functions in Carnot Groups

Original Papers

DOI: 10.1007/s10255-004-0155-1

Cite this article as:
Sun, M. & Yang, X. Acta Mathematicae Applicatae Sinica, English Series (2004) 20: 123. doi:10.1007/s10255-004-0155-1

Abstract

For a Carnot group G, we establish the relationship between extended mean values and r-convex functions which is introduced in this paper, which is a class of inequalities of Hadamard type for r-convex function on G.

Keywords

r-convex functionextended mean valuesCarnot groupinequality

2000 MR Subject Classification

22E2543A8026D15

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Department of Applied MathematicsNanjing University of Science and TechnologyNanjing 210094China
  2. 2.Department of Applied MathematicsHunan Institute of Science and TechnologyYueyang 414000, HunanChina