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, C; Cotronei, Mariantonia; Romani, R.. - In: DOLOMITES RESEARCH NOTES ON APPROXIMATION. - ISSN 2035-6803. - 10:(2017), pp. 31-42. [10.14658/pupj-drna-2017-Special_Issue-6]

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

COTRONEI, Mariantonia;
2017-01-01

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.
2017
B-splines, Subdivision schemes, Exponential polynomials, Pseudo-splines, Approximation order
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/2627
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