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On the Sharpness of a Jackson Estimate by Ditzian–Totik

✍ Scribed by L. Imhof

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
412 KB
Volume
86
Category
Article
ISSN
0021-9045

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✦ Synopsis

Using ideas of Gru nwald, Marcinkiewicz, and Ve rtesi concerning the divergence of interpolation processes, a counterexample is constructed which establishes that a Jackson estimate for the best approximation by algebraic polynomials given by Ditzian and Totik is sharp in a pointwise sense everywhere.

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