Compression using quasi-interpolation
-
Martin D. Buhmann [1] ; Feng Dai [2]
-
[1] University of Giessen
University of Giessen
Distrito de Gießen, Alemania
-
[2] University of Alberta
University of Alberta
Canadá
-
- Localización: Jaen journal on approximation, ISSN 1889-3066, ISSN-e 1989-7251, Vol. 7, Nº. 2, 2015, págs. 203-230
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
-
Resumen
In this article we consider quasi-interpolation with a main application in radial basis functions approximations and compression. On constructing and using these quasi-interpolants, we consider wavelet and compression-type approximations from their linear spaces, and we provide convergence estimates. The results include an error estimate for nonlinear approximation by radial basis functions and quasi-interpolation, positive and negative results about compression in the space of continuous functions and a pointwise convergence estimate for approximands of low smoothness.
