Properties of Generalized Modulus of Smoothness and Generalized Modulus of Convexity

Based on the definitions of generalized modulus of smoothness, the relation between generalized modulus of smoothness and t in the Banach spaces is studied, which proves three equivalent conditions of uniform normal structure and four equivalent propositions of generalized modulus of smoothness. In...

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Bibliographic Details

Published in:	Journal of Harbin University of Science and Technology
Main Authors:	ZHAO Liang, YU Yang
Format:	Article
Language:	Chinese
Published:	Harbin University of Science and Technology Publications 2020-02-01
Subjects:	generalized modulus of smoothness generalized modulus of convexity uniformly nonsquare uniform normal structure
Online Access:	https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1834