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Some generalizations of locally and weakly locally uniformly convex space
- Source :
- Nonlinear Analysis: Theory, Methods & Applications. 74:3896-3902
- Publication Year :
- 2011
- Publisher :
- Elsevier BV, 2011.
-
Abstract
- In this paper, we prove that strongly convex space and almost locally uniformly rotund space, very convex space and weakly almost locally uniformly rotund space are respectively equivalent. We also investigate a few properties of k -strongly convex space and k -very convex space, and discuss the applications of strongly convex space and very convex space in approximation theory.
Details
- ISSN :
- 0362546X
- Volume :
- 74
- Database :
- OpenAIRE
- Journal :
- Nonlinear Analysis: Theory, Methods & Applications
- Accession number :
- edsair.doi...........198e75ee76480a27b9b8cbe5577590d6