Asymptotic Properties of Polynomials with Auxiliary Conditions of Interpolation
| Author | : Joseph Leonard Walsh |
| Publisher | : |
| Total Pages | : 34 |
| Release | : 1961 |
| ISBN-10 | : UOM:39015095248509 |
| ISBN-13 | : |
| Rating | : 4/5 ( Downloads) |
Book Synopsis Asymptotic Properties of Polynomials with Auxiliary Conditions of Interpolation by : Joseph Leonard Walsh
Download or read book Asymptotic Properties of Polynomials with Auxiliary Conditions of Interpolation written by Joseph Leonard Walsh and published by . This book was released on 1961 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let a closed bounded point set E be given in the z-plane. Necessary and sufficient conditions are found for validity of the following: given assigned conditions of interpolation in a finite number of points: pn(zk) = Ank; there exists a sequence of polynomials pn(z) satisfying these conditions and lim sup max pn(z), z on E 1/n = (E), where (E) is the transfinite diameter of E. (Author).