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- Title
A geometrical constant and normal normal structure in Banach Spaces.
- Authors
Zuo, Zhanfei
- Abstract
Recently, we introduced a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus such as J , ( t). In this paper, We can compute the constant J , (1) under the absolute normalized norms on ℝ by means of their corresponding continuous convex functions on [0, 1]. Moreover, some sufficient conditions which imply uniform normal structure are presented. 2000 Mathematics Subject Classification: 46B20.
- Subjects
GEOMETRY; BANACH spaces; PYTHAGOREAN theorem; MATHEMATICS; MATHEMATICAL physics; CONVEX functions
- Publication
Journal of Inequalities & Applications, 2011, Vol 2011, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/1029-242X-2011-16