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Some Problems on Best Approximation in Orlicz Spaces

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DOI: 10.4236/am.2012.34048    3,841 Downloads   6,420 Views   Citations

ABSTRACT

In this paper we studied some problems on best approximation in Orlicz spaces, for which the approximating sets are Haar subspaces, the result of this paper can be considered as the extension of the classical corresponding result.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

G. Wu and D. Guan, "Some Problems on Best Approximation in Orlicz Spaces," Applied Mathematics, Vol. 3 No. 4, 2012, pp. 322-324. doi: 10.4236/am.2012.34048.

References

[1] Y. S. Sun, “Approximation Theory of Functions,” Beijing Normal University Press, Beijing, 1989.
[2] C. X. Wu and T. F. Wang, “Orlicz Space and Its Applications,” Hei Long Jiang Science and Technology Press, Harbin, 1983.
[3] D. L. Xie, “The Characteristics of Best Approximators in Orlicz Spaces,” Journal of Hangzhou University, Vol. 12, No. 3, 1985, pp. 319-322.
[4] Y. W. Wang and S. T. Chen, “The Best Approximating Operators in Orlicz Spaces,” Pure Mathematics and Applied Mathematics, Vol. 2, No. 2, 1986, pp. 44-51.
[5] C. X. Wu, T. F. Wang, S. T. Chen and Y. W. Wang, “The Geometric Theory of Orlicz Spaces,” Harbin Industrial University Press, Harbin, 1986.
[6] J. Gillis and G. Lewis, “Monic Polynomials with Minimal Norm,” Journal of Approximation Theory, Vol. 34, No. 2, 1982, pp. 187-193. doi:10.1016/0021-9045(82)90091-0

  
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