【摘要】 <正> 本文继续[1]的工作,采用的记号及定义均依照该文.为明确起见,我们把与本文有关的一些记号及结果简述如下. 设t=（t_i）_-∞^+∞是非减的实数序列,t_i<t_i+k（对所有i）,记更多还原

【Abstract】 In this paper we develop a theory,of B-splines associated with a linear differentialoperator. We prove the following theorem. Theorem Let ? be a linear differential operator of degree k such that for anynon-zero g with ?^*g=0 the sum of its zeros’ multiplicities on [t_i, t_i+k] does not exceedk, and let M_i be a ?B-spline with [i, i + k] being its support; then M_i（x） ≠ 0if and only if t_i < x < t_i+k. Obviously, this result is a generalization of S. Karlin and L. L. Schumaker’s cor-responding results.更多还原