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Note on Polynomial Approximation on a Jordan Arc

✍ Scribed by J. L. Walsh

Book ID: 123656370
Publisher: National Academy of Sciences
Year: 1960
Tongue: English
Weight: 146 KB
Volume: 46
Category: Article
ISSN: 0027-8424
DOI: 10.2307/70760

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Let E be a subspace of C(X) and let R(E)= gÂh: g, h # E ; h>0]. We make a simple, yet intriguing observation: if zero is a best approximation to f from E, then zero is a best approximation to f from R(E ). We also prove that if That extends the results of P. Borwein and S. Zhou who proved it for t