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A CLASS OF LACUNARY INTERPOLATING SPLINES OF HIGH DEGREE

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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.
作者 CHEN Tianping 陈天平
机构地区 Fudan University
出处 《Chinese Science Bulletin》 SCIE EI 1983年第2期145-150,共6页
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