Abstract
We present a new variant of the simultaneous Stone-Weierstrass approximation of a function and its partial derivatives, when the function takes its values in a Banach space, and provide an explicit and direct computation of this approximation. In the particular case of approximation by means of polynomials, we show that the simultaneous approximation can be required to be exact at a finite number of prescribed points.
Original language | English (US) |
---|---|
Pages (from-to) | 351-363 |
Number of pages | 13 |
Journal | Journal of Approximation Theory |
Volume | 78 |
Issue number | 3 |
DOIs | |
State | Published - 1994 |
Externally published | Yes |