PERFECT SPLINES WITH BOUNDARY CONDITIONS AND THEIR APPLICATION TO CERTAIN EXTREMAL PROBLEMS

被引:0
作者
Chrisina Draganova
机构
[1] VelikoTurnovoUniversityBulgaria
关键词
PERFECT SPLINES WITH BOUNDARY CONDITIONS AND THEIR APPLICATION TO CERTAIN EXTREMAL PROBLEMS; APPI;
D O I
暂无
中图分类号
O174 [函数论];
学科分类号
070104 ;
摘要
<正> In this paper we consider two problems. The first is connected with the optimal recovery offunctions satisfyiog boundary conditions. The second is the characterization of the unique func-tion whose r-th derivative has minimum L∞-norm, taking given values of alternating signs andsatis fying boundary conditions.
引用
收藏
页码:44 / 55
页数:12
相关论文
共 3 条
[1]  
The optimal recovery of smooth functions[J] . C. A. Micchelli,T. J. Rivlin,S. Winograd.Numerische Mathematik . 1976 (2)
[2]  
Interpolation by splines satisfying mixed boundary conditions[J] . Avraham A. Melkman.Israel Journal of Mathematics . 1974 (4)
[3]  
The fundamental theorem of algebra for monosplines satisfying boundary conditions[J] . Samuel Karlin,Charles Micchelli.Israel Journal of Mathematics . 1972 (4)