Rational Operators Based on q-Integers

被引：3
|
作者：
Amato, Umberto [1 ]
Della Vecchia, Biancamaria [2 ]
机构：
[1] Natl Res Council Italy, Ist Microelettron & Microsistemi, Via Pietro Castellino 111, I-80131 Naples, Italy
[2] Univ Roma La Sapienza, Dipartimento Matemat, Piazzale Aldo Moro 5, I-00185 Rome, Italy
来源：
RESULTS IN MATHEMATICS | 2017年 / 72卷 / 03期
关键词：
Shepard operators; q-integers; pointwise approximation error estimates; Shepard-type curves; shape modeling; LUPAS Q-ANALOG; BERNSTEIN OPERATOR; BEZIER CURVES; APPROXIMATION; SATURATION; SURFACES;
D O I：
10.1007/s00025-017-0682-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Shepard-type rational operators based on q-integers are studied and convergence results and pointwise approximation error estimates improving previous statements are obtained. Influence of choice of q on the error estimates is also discussed. Techniques in CAGD for shape modeling of rational curves based on above operators are also presented and numerical examples are given.
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页码：1109 / 1128
页数：20
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