摘要
A.Meir and A.Sharma studied a quintic lacunary interpolating spline.In[2],[3],their results have been improved.Recently,using similar method,Sha Zheng discussed 7-and 11-degree splines.The purpose of this note is to give a general method,by which we can improve most results obtained and discuss splines interpolating derivatives of even degree as well.In Section I,using results on Hermite interpolation splines,we discuss a class of H—B interpolation splines and give the estimates of convergence rate and asymptotic expansions.