Inverse and direct theorems for best uniform approximation by polynomials

Inverse and direct theorems for best uniform approximation by polynomials

Waldron, Shayne
Identifier: http://hdl.handle.net/2292/5053
Issue Date: 1997-05
Reference: Department of Mathematics - Research Reports-380 (1997)
Rights: The author(s)
Rights (URI): https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm

Abstract:

It is shown that the standard method of obtaining direct (Jackson) theorems for the order of best uniform approximation by algebraic polynomials from those for trigonometric polynomials also provides inverse (Bernstein) theorems.

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