UNIFORM APPROXIMATION BY INCOMPLETE POLYNOMIALS

For any θ with 0 < θ < 1, it is known that, for the set of all incomplete polynomials of type θ , i.e, , to have the Weierstrass property on [ a θ , 1], it is necessary that urn:x-wiley:01611712:media:ijmm401670:ijmm401670-math-0002 In this paper, we show that the above inequalities are essent...

Full description

Saved in:
Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences 1978, Vol.1978 (4), p.407-420
Main Authors: Saff, E. B., Varga, R. S.
Format: Article
Language:English
Subjects:
incomplete polynomials
uniform convergence
Weierstrass property
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:For any θ with 0 < θ < 1, it is known that, for the set of all incomplete polynomials of type θ , i.e, , to have the Weierstrass property on [ a θ , 1], it is necessary that urn:x-wiley:01611712:media:ijmm401670:ijmm401670-math-0002 In this paper, we show that the above inequalities are essentially sufficient as well.
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171278000411