| Texto completo | |
| Autor(es): |
Bertoni, Vanessa
[1]
Número total de Autores: 1
|
| Afiliação do(s) autor(es): | [1] Univ Sao Paulo, ICMC, Dept Ciencias Comp & Estat, BR-13566970 Sao Carlos, SP - Brazil
Número total de Afiliações: 1
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Complex Variables and Elliptic Equations; v. 53, n. 5, p. 401-409, 2008. |
| Citações Web of Science: | 0 |
| Resumo | |
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) | |
| Processo FAPESP: | 03/10469-4 - Funcoes e polinomios univalentes. |
| Beneficiário: | Vanessa Bertoni |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |