SOME RECURRENCE FORMULAS FOR BOX SPLINES AND CONE SPLINES
SOME RECURRENCE FORMULAS FOR BOX SPLINES AND CONE SPLINES作者机构：Department of Mathematics University of St. Thomas St. Paul MN 55105 USA
出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)
年 卷 期：2004年第20卷第4期
页 面：297-306页
学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学]
主 题：box spline cone spline degree elevation
摘 要：A degree elevation formula for multivariate simplex splines was given by Micchelli and extended to hold for multivariate Dirichlet splines in [8]. We report similar formulae for multivariate cone splines and box splines. To this end, we utilize a relation due to Dahmen and Micchelli that connects box splines and cone splines and a degree reduction formula given by Cohen, Lyche, and Riesenfeld in [2].
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