The main goal of this paper is to present some generalizations of polynomial B-splines, which include exponential B-splines and the larger family of exponential pseudo-splines. We especially focus on their connections to subdivision schemes. In addition, we generalize a well-known result on the approximation order of exponential pseudo-splines, providing conditions to establish the approximation order of non- stationary subdivision schemes reproducing spaces of exponential polynomial functions.
Beyond B-splines: Exponential pseudo-splines and subdivision schemes reproducing exponential polynomials / Conti, Costanza; Cotronei, Mariantonia; Romani, Lucia. - In: DOLOMITES RESEARCH NOTES ON APPROXIMATION. - ISSN 2035-6803. - STAMPA. - 10:(2017), pp. 31-42.
Beyond B-splines: Exponential pseudo-splines and subdivision schemes reproducing exponential polynomials
Conti, Costanza
;
2017
Abstract
The main goal of this paper is to present some generalizations of polynomial B-splines, which include exponential B-splines and the larger family of exponential pseudo-splines. We especially focus on their connections to subdivision schemes. In addition, we generalize a well-known result on the approximation order of exponential pseudo-splines, providing conditions to establish the approximation order of non- stationary subdivision schemes reproducing spaces of exponential polynomial functions.File | Dimensione | Formato | |
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