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THE WIDTH IN LOCALLY CONVEX SPACE

THE WIDTH IN LOCALLY CONVEX SPACE
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摘要 In this paper we extend the problems of width in normed space to that in locally convex space and some results are given. In this paper we extend the problems of width in normed space to that in locally convex space and some results are given.
出处 《Analysis in Theory and Applications》 2003年第1期20-28,共9页 分析理论与应用(英文刊)
基金 Supported by the Natural&Science Foundation of Hebei
关键词 f-n-width pr-n-width optimal subspace f-n-width, pr-n-width, optimal subspace
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参考文献5

  • 1Pinkus, A. , n-Widths in Approximation Theorey, Springer-Verlag, Beijing, 1985.
  • 2Singer, I., Best Approximation in Normed Linear Space by Elements of Linear Subspace,Sprlnger-Verlag, Berlin, Heidelberg, New York, 1970.
  • 3Borsuk, K. , Drei Saotze über die n-Dimensionale Euklidische Sphare, Fund. Math. , 20(1933),177--191.
  • 4Pal, D.V. and Oovindarajulu, P. , On Set-Valued f-Projection and f-Farthest Point Mapping,J. Approx. Theory, 42(:1984), 4--13.
  • 5Song, W. H., The Approximation on Locally Convex Spaces, Approximation Theory and its Applications, 10,1 (1994), Mar.

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