Document Type
Article
Publication Date
1978
Digital Object Identifier (DOI)
https://doi.org/10.1155/S0161171278000411
Abstract
For any θ with 0<θ<1, it is known that, for the set of all incomplete polynomials of type θ, i.e, {p(x)=∑k=snakxk:s≥θ⋅n}, to have the Weierstrass property on [aθ,1], it is necessary that θ2≤aθ≤1. In this paper, we show that the above inequalities are essentially sufficient as well.
Rights Information
This work is licensed under a Creative Commons Attribution 3.0 License.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
International Journal of Mathematics and Mathematical Sciences, v. 1, art. 401670
Scholar Commons Citation
Saff, E. B. and Varga, R. S., "Uniform approximation by Incomplete Polynomials" (1978). Mathematics and Statistics Faculty Publications. 79.
https://digitalcommons.usf.edu/mth_facpub/79
