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
Primary G41A17, 41A25, 41A27
; Secondary 30E10, 42A10
Last Updated
9 May 1997
Length
5 pages
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