Monotone Approximation by Polynomials
- 1 October 1977
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 8 (5), 906-921
- https://doi.org/10.1137/0508069
Abstract
We prove Jackson type estimates for the approximation of monotone functions by monotone polynomials. The results are given in terms of the modulus of continuity of $f^{(k)} $ , for any $k \geqq 0$. The estimates are of the same order as for the unconstrained approximation by polynomials.
Keywords
This publication has 4 references indexed in Scilit:
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- Degree of Monotone ApproximationPublished by Springer Nature ,1974
- Degree of approximation by monotone polynomials IIJournal of Approximation Theory, 1969
- Degree of approximation by monotone polynomials IJournal of Approximation Theory, 1968