Department of Mathematics, Harbin University of Science and Technology, Harbin, Heilongjiang 150080, China
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.
We introduce a new coefficient as a generalization of the modulus of
smoothness and Pythagorean modulus of Banach space . Some basic properties of this new coefficient are investigated. Moreover, some sufficient conditions which imply normal structure are presented.