Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 934321, 14 pages
doi:10.1155/2009/934321
Research Article

A Coefficient Related to Some Geometric Properties of a Banach Space

Zhanfei Zuo and Yunan Cui

Department of Mathematics, Harbin University of Science and Technology, Harbin, Heilongjiang 150080, China

Received 29 September 2008; Revised 24 March 2009; Accepted 19 April 2009

Academic Editor: Jong Kim

Copyright © 2009 Zhanfei Zuo and Yunan Cui. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We introduce a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus of Banach space X. Some basic properties of this new coefficient are investigated. Moreover, some sufficient conditions which imply normal structure are presented.