Orthogonal expansions and the error of weighted polynomial approximation for erdös weights
- 1 January 1992
- journal article
- research article
- Published by Taylor & Francis in Numerical Functional Analysis and Optimization
- Vol. 13 (3-4) , 327-347
- https://doi.org/10.1080/01630569208816481
Abstract
Some (C, 1) bounds for orthogonal expansions associated with Erdös weights are established. Roughly speaking, Erdös weights are weights of the form W := e −Q , where Q is even, continuous and has faster than polynomial growth at infinity. Typical examples are or , and so on. We shall use these bounds together with Bohr-type inequalities, to establish L p , 1 ≤ p ≤ ∞, Jackson-Favard inequalities.Keywords
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