与对偶一元插值细分格式相关的Bezout型多项式方程
Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes
摘要：
研究了对偶一元插值细分格式的代数特征。具体地说，我们提供了一个建设性的方法来寻找对偶单变量插值细分计划的基础上，某些相关的多项式方程的解决方案。所提议的方法还可以确定所寻求的计划存在的条件。
英文摘要：
The algebraic characterization of dual univariate interpolating subdivision schemes is investigated. Specifically, we provide a constructive approach for finding dual univariate interpolating subdivision schemes based on the solutions of certain associated polynomial equations. The proposed approach also makes possible to identify conditions for the existence of the sought schemes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
