Approximation by Müntz spaces on positive intervals

Abstract

International audienceThe so-called Bernstein operators were introduced by S.N. Bernstein in 1912 to give a constructive proof of Weierstrass' theorem. We show how to extend his result to Müntz spaces on positive intervals

Interpolation of G1 Hermite data by C1 cubic-like sparse Pythagorean hodograph splines

“…, r n are consecutive integers, for design algorithms are hardly more complicated that in the polynomial case [29,30,3]. Such spaces are referred to as complete Müntz spaces in [3], see also [6,5]. From now on, we limit ourselves to the cubic-like case n = 3.…”