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On the Müntz rational approximation rate


Author: S. P. Zhou
Journal: Proc. Amer. Math. Soc. 121 (1994), 179-183
MSC: Primary 41A20; Secondary 41A25
DOI: https://doi.org/10.1090/S0002-9939-1994-1204388-0
MathSciNet review: 1204388
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Abstract: The present paper constructs a counterexample to show that a conjecture of Newman concerning rational approximation rate of arbitrary Markov system is generally not true.


References [Enhancements On Off] (What's this?)

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  • [2] J. Bak and D. J. Newman, Rational combinations of $ {x^{{\lambda _k}}}, {\lambda _k} \geq 0$, are always dense in $ {C_{[0,1]}}$, J. Approx. Theory 23 (1978), 155-157. MR 0487180 (58:6840)
  • [3] D. J. Newman, Derivative bounds for Müntz polynomials, J. Approx. Theory 18 (1976), 360-362. MR 0430604 (55:3609)
  • [4] -, Approximation with rational functions, Amer. Math. Soc., Providence, RI, 1978.
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  • [6] S. P. Zhou, On Müntz rational approximation, Constr. Approx. (1993) (to appear). MR 1237927 (94j:41012)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1204388-0
Article copyright: © Copyright 1994 American Mathematical Society

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