Negative theorems on monotone approximation
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- by John A. Roulier PDF
- Proc. Amer. Math. Soc. 55 (1976), 37-43 Request permission
Abstract:
In this paper we show that for $f$ continuous on $[ - 1, + 1]$ and satisfying $(f({x_2}) - f({x_1}))/({x_2} - {x_1}) \geqq \delta > 0$, it is possible to have infinitely many of the polynomials of best uniform approximation to $f$ not increasing on $[ - 1, + 1]$.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 55 (1976), 37-43
- DOI: https://doi.org/10.1090/S0002-9939-1976-0393969-1
- MathSciNet review: 0393969