Document Zbl 0404.41002

An improvement theorem for Descartes systems. (English) Zbl 0404.41002

Proc. Am. Math. Soc. 70, 26-30 (1978).

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MSC:

41A10	Approximation by polynomials
41A50	Best approximation, Chebyshev systems

Keywords:

Polynomial Approximation; Best Approximation; Descartes Systems

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References:

[1]	Itshak Borosh, Charles K. Chui, and Philip W. Smith, Best uniform approximation from a collection of subspaces, Math. Z. 156 (1977), no. 1, 13 – 18. · Zbl 0366.41012 · doi:10.1007/BF01215125
[2]	Samuel Karlin and William J. Studden, Tchebycheff systems: With applications in analysis and statistics, Pure and Applied Mathematics, Vol. XV, Interscience Publishers John Wiley & Sons, New York-London-Sydney, 1966. · Zbl 0153.38902
[3]	Samuel Karlin, Charles A. Micchelli, Allan Pinkus, and I. J. Schoenberg , Studies in spline functions and approximation theory, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1976. · Zbl 0323.00007
[4]	G. M. Phillips, Error estimates for best polynomial approximations, Approximation Theory (Proc. Sympos., Lancaster, 1969) Academic Press, London, 1970, pp. 1 – 6.
[5]	A. Pinkus, Private communication.

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