Approximation of one class of differentiable functions by piecewise-HermitianL-splines

被引：0
作者：
S. I. Novikov
机构：
[1] Ural Division of the Russian Academy of Sciences,Institute of Mathematics and Mechanics
来源：
Ukrainian Mathematical Journal | 1999年 / 51卷 / 11期
关键词：
Differential Operator; Differentiable Function; Extremal Problem; Linear Differential Operator; Ential Operator;
D O I：
10.1007/BF02525272
中图分类号：
学科分类号：
摘要：
The exact values of the upper bounds of deviations of piecewise-HermitianL-splines are found for certain classes of functions determined by systems of linear differential operators with continuous coefficients.
引用
收藏
页码：1693 / 1703
页数：10
相关论文
共 13 条
[1]  
Velikin V. L.(1973)Exact values of approximation by Hermitian splines on classes of differentiable functions Izv. Akad. Nauk SSSR, Ser. Mat. 37 165-185
[2]  
Späth H.(1969)Exponential spline interpolation Computing 4 225-230
[3]  
Prenter P.(1971)Piecewise Numer. Math. 18 243-253
[4]  
Pruess S.(1976)-splines J. Approxim. Theory 17 86-96
[5]  
McCartin B.(1991)Properties of splines in tension J. Approxim. Theory 66 1-23
[6]  
Ciariet P.(1967)Theory of exponential splines Numer. Math. 9 394-430
[7]  
Schultz M.(1995)Numerical methods of high-order accuracy for nonlinear boundary-value problems. One dimensional problem E. J. Approxim. 1 143-156
[8]  
Varga R.(1969)-approximation by piecewise-Hermitian Usp. Mat. Nauk 24 42-96
[9]  
Novikov S. I.(1971)-splines Lect. Notes Math. 220 1-147
[10]  
Levin A. Yu.(1990)Nonoscillation of solutions of the equation Mat. Sb. 181 1587-1606
12