A new B-spline type approximation method for non-smooth functions

被引：5
作者：
Amat, Sergio [1 ]
Levin, David [2 ]
Ruiz-Alvarez, Juan [1 ]
Yanez, Dionisio F. [3 ]
机构：
[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Cartagena, Spain
[2] Tel Aviv Univ, Sch Math Sci, Tel Aviv, Israel
[3] Univ Valencia, Dept Matemat, Valencia, Spain
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 141卷
关键词：
B-splines; Non linear means; Approximation; Adaption to discontinuities; Discontinuous data;
D O I：
10.1016/j.aml.2023.108628
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this letter we present a non-linear modification of classical quadratic and cubic splines following the inspiration of the PPH (piecewise polynomial harmonic) interpolation method. The objective is to get rid of the oscillations that appear close to jump discontinuities in the function when we approximate using a classical spline.(c) 2023 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
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页数：8
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