Title :
Conditions Preserving Polynomial Reproduction for a Class of Quasi-Interpolation
Author :
Chen, Ronghua ; Han, Xuli ; Wu, Zongmin
Author_Institution :
Sch. of Math. & Comput. Sci., Hunan Univ. of Sci. & Technol., Xiangtan, China
Abstract :
In this paper, we give the necessary and sufficient conditions preserving the polynomial reproduction property for a class of quasi-interpolation. Moreover, we illustrate some quasi-interpolations are constant reproducing or linear reproducing by using the conditions presented in this paper.
Keywords :
interpolation; polynomials; constant reproducing; linear reproducing; polynomial reproduction; quasiinterpolation; Computers; Educational institutions; Interpolation; Polynomials;
Conference_Titel :
Computational Intelligence and Software Engineering (CiSE), 2010 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-5391-7
Electronic_ISBN :
978-1-4244-5392-4
DOI :
10.1109/CISE.2010.5676734