Polynomial approximation on spheres - generalizing de la Vallée-Poussin
Polynomial approximation on spheres - generalizing de la Vallée-Poussin
Abstract For trigonometric polynomial approximation on a circle, the century-old de la Vallée-Poussin construction has attractive features: it exhibits uniform convergence for all continuous functions as the degree of the trigonometric polynomial goes to infinity, yet it also has arbitrarily fast convergence for sufficiently smooth functions. This paper presents an …