| Full text | |
| Author(s): |
Bertoni, Vanessa
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Sao Paulo, ICMC, Dept Ciencias Comp & Estat, BR-13566970 Sao Carlos, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | Complex Variables and Elliptic Equations; v. 53, n. 5, p. 401-409, 2008. |
| Web of Science Citations: | 0 |
| Abstract | |
A positive summability trigonometric kernel [K(n)(theta)](infinity)(n=1) is generated through a sequence of univalent polynomials constructed by Suffridge. We prove that the convolution [K(n) {*} f] approximates every continuous 2 pi-periodic function f with the rate omega(f, 1/n), where omega(f, delta) denotes the modulus of continuity, and this provides a new proof of the classical Jackson's theorem. Despite that it turns out that K(n)(theta) coincide with positive cosine polynomials generated by Fejer, our proof differs from others known in the literature. (AU) | |