Cargando…
Polynomial approximation on polytopes /
Polynomial approximation on convex polytopes in \mathbf{R}^d is considered in uniform and L^p-norms. For an appropriate modulus of smoothness matching direct and converse estimates are proven. In the L^p-case so called strong direct and converse results are also verified. The equivalence of the modu...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
[2014]
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1091. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | Polynomial approximation on convex polytopes in \mathbf{R}^d is considered in uniform and L^p-norms. For an appropriate modulus of smoothness matching direct and converse estimates are proven. In the L^p-case so called strong direct and converse results are also verified. The equivalence of the moduli of smoothness with an appropriate K-functional follows as a consequence. The results solve a problem that was left open since the mid 1980s when some of the present findings were established for special, so-called simple polytopes. |
|---|---|
| Notas: | "Volume 232, Number 1091 (third of 6 numbers), November 2014." |
| Descripción Física: | 1 online resource (v, 112 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 111-112). |
| ISBN: | 9781470418946 1470418940 |
| ISSN: | 0065-9266 ; |