概率赋范空间中的一致凸性

Abstract

Abstract:

Ｉｎｔｈｉｓｐａｐｅｒ，ａｎｏｔｉｏｎｏｎ“ｕｎｉｔｓｐｈｅｒｅ”ａｎｄ“ｕｎｉｆｏｒｍｌｙｃｏｎｖｅｘ”ｉｓｉｎｔｒｏｄｕｃｅｄｉｎｐｒｏｂａｂｉｌｉｓｔｉｃｎｏｒｍｅｄｓｐａｃｅｓ，ｉｔｉｓｐｒｏｖｅｄｔｈａｔｅｘｉｓｔｅｎｃｅａｎｄｕｎｉｑｕｅｎｅｓｓｏｎｔｈｅｏｐｔｉｍａｌａｐ-ｐｒｏｘｉｍａｔｅｅｌｅｍｅｎｔ．

Key words: Ｐｒｏｂａｂｉｌｉｓｔｉｃｎｏｒｍｅｄｓｐａｃｅ, Ｕｎｉｆｏｒｍｌｙｃｏｎｖｅｘ, Ｏｐｔｉｍａｌａｐｐｒｏｘｉｍａｔｅｅｌｅｍｅｎｔ

CLC Number:

46S50

ZHANG Min-Xian. Uniformly convexity in probabilistic normed spaces[J].Acta mathematica scientia,Series A, 2000, 20(zk): 640-643.

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Uniformly convexity in probabilistic normed spaces

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