Quasi-Interpolation Operators for Bivariate Quintic Spline Spaces and Their Applications
College of Information and Management Science, Henan Agricultural University, Zhengzhou 450000, China
School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
Author to whom correspondence should be addressed.
Academic Editor: Fazal M. Mahomed
Received: 10 October 2016 / Revised: 19 December 2016 / Accepted: 27 December 2016 / Published: 19 January 2017
Splines and quasi-interpolation operators are important both in approximation theory and applications. In this paper, we construct a family of quasi-interpolation operators for the bivariate quintic spline spaces
. Moreover, the properties of the proposed quasi-interpolation operators are studied, as well as its applications for solving the two-dimensional Burgers’ equation and image reconstruction. Some numerical examples show that these methods, which are easy to implement, provide accurate results.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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MDPI and ACS Style
Yu, R.; Zhu, C.; Hou, X.; Yin, L. Quasi-Interpolation Operators for Bivariate Quintic Spline Spaces and Their Applications. Math. Comput. Appl. 2017, 22, 10.
Yu R, Zhu C, Hou X, Yin L. Quasi-Interpolation Operators for Bivariate Quintic Spline Spaces and Their Applications. Mathematical and Computational Applications. 2017; 22(1):10.
Yu, Rengui; Zhu, Chungang; Hou, Xianmin; Yin, Li. 2017. "Quasi-Interpolation Operators for Bivariate Quintic Spline Spaces and Their Applications." Math. Comput. Appl. 22, no. 1: 10.
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