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 nonstationary subdivision schemes reproducing spaces of exponential polynomial functions.

Conti, C., Cotronei, M., Romani, L. (2017). Beyond B-splines: Exponential pseudo-splines and subdivision schemes reproducing exponential polynomials. DOLOMITES RESEARCH NOTES ON APPROXIMATION, 10(Special Issue), 31-42.

Beyond B-splines: Exponential pseudo-splines and subdivision schemes reproducing exponential polynomials

ROMANI, LUCIA
Ultimo
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 nonstationary subdivision schemes reproducing spaces of exponential polynomial functions.
Articolo in rivista - Articolo scientifico
Approximation order; B-splines; Exponential polynomials; Pseudo-splines; Subdivision schemes; Applied Mathematics
English
31
42
12
Conti, C., Cotronei, M., Romani, L. (2017). Beyond B-splines: Exponential pseudo-splines and subdivision schemes reproducing exponential polynomials. DOLOMITES RESEARCH NOTES ON APPROXIMATION, 10(Special Issue), 31-42.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/156740
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