Beyond B-splines: exponential pseudo-splines and subdivision schemes reproducing exponential polynomials
نویسندگان
چکیده
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. 2010 MSC: 65D17, 65D15, 41A25
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