Polynomial Approximation in Sobolev Spaces on the Unit Sphere and the Unit Ball

Details 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

2010-11-12

arxiv.org/abs/1011.2819v1

Mathematics

Classical Analysis and ODEs

16 pages

Scientific paper

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 relation between best approximation to a function and to its derivatives.

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