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Polynomial approximation on compact manifolds and homogeneous spaces
David L. Ragozin
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Source: Crossref
Published: Jan 1, 1970
DOI: 10.1090/s0002-9947-1970-0410210-0
Open original source ↗Source abstract
We prove several theorems which relate the smoothness of a function, f f , defined on a compact C ∞ {C^\infty } -submanifold of a Euclidean space to the rate at which the error in the best uniform approximation to f f by polynomials of degree at most n n tends to zero.
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