Simultaneous Approximations for Functions in Sobolev Spaces by Derivatives of Polyharmonic Cardinal Splines

Direct Computation of the Simultaneous S

Direct Computation of the Simultaneous Stone-Weierstrass Approximation of a Function and Its Partial Derivatives in Banach Spaces, and Combination with Hermite Interpolation

✍ J.C. Evard; F. Jafari 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 338 KB

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 poly