论文信息 - Polynomial approximation in Sobolev spaces on the unit sphere and the unit ball

Polynomial approximation in Sobolev spaces on the unit sphere and the unit ball

Abstract This work is a continuation of the recent study by the authors on approximation theory over the sphere and the ball. The main results define new Sobolev spaces on these domains and study polynomial approximations for functions in these spaces, including simultaneous approximation by polynomials and the relation between the best approximation of a function and its derivatives.

Yuan Xu | Feng Dai

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