P1-reproducing shape-preserving quasi-interpolant using positive quadratic splines with local support

被引：4
|
作者：
Conti, C
Morandi, R
Rabut, C
机构：
[1] Univ Florence, Dipartimento Energet, I-50134 Florence, Italy
[2] Inst Natl Sci Appl, Dept Genie Math, F-31077 Toulouse 4, France
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1999年 / 104卷 / 02期
关键词：
quadratic spline; quasi-interpolant; shape-preserving;
D O I：
10.1016/S0377-0427(98)00259-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a strategy is presented to construct a shape-preserving quasi-interpolant function expressed as a linear combination of quadratic splines with local support where the coefficients are given by the data. The quasi-interpolant is shown to be linear-reproducing, monotone and/or convex conforming to the data. (C) 1999 Elsevier Science B.V. All rights reserved.
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页码：111 / 122
页数：12
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