Polynomial approximation on compact manifolds and homogeneous spaces
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- by David L. Ragozin PDF
- Trans. Amer. Math. Soc. 150 (1970), 41-53 Request permission
Abstract:
We prove several theorems which relate the smoothness of a function, $f$, defined on a compact ${C^\infty }$-submanifold of a Euclidean space to the rate at which the error in the best uniform approximation to $f$ by polynomials of degree at most $n$ tends to zero.References
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Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 150 (1970), 41-53
- MSC: Primary 41A65
- DOI: https://doi.org/10.1090/S0002-9947-1970-0410210-0
- MathSciNet review: 0410210