On a conjecture of Z. Ditzian
β Scribed by Ding-Xuan Zhou
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 207 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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 everywher
Let f # Z[x] with degree k and let p be a prime. By a complete trigonometric sum we mean a sum of the form S(q, f )= q x=1 e q ( f (x)), where q is a positive integer and e q (:)=exp(2?if (x)Γq). Professor Chalk made a conjecture on the upper bound of S(q, f ) when q is a prime power. We prove Chalk
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