Inverse and direct theorems for best uniform approximation by polynomials

by Shayne Waldron


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.

Keywords: Bernstein theorem, inverse theorem, Jackson theorem, direct theorem, Ditzian-Totik moduli of smoothness

Math Review Classification: G41A17, 41A25, 41A27 (primary), 30E10, 42A10 (secondary)

Length: 5 pages

Comment: Written in TeX

Last updated: 9 May 1997

Status: Submitted


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