Title
Construction of univariate spline quasi-interpolants with symmetric functions
Abstract
A new approach to construct univariate spline quasi-interpolants on arbitrary partitions of bounded intervals is developed. In the first part of this paper, we give some results about the symmetric functions of the difference of two finite sets. These results are used, in the second part of this work, to construct explicitly different types of quasi-interpolants. We revise the definition of a uniformly bounded quasi-interpolant and we propose some results on this subject. Some numerical examples are given to illustrate our theoretical results.
Year
DOI
Venue
2015
10.1016/j.matcom.2014.11.028
Mathematics and Computers in Simulation
Keywords
Field
DocType
Symmetric functions,Quasi-interpolants,Uniformly bounded operators
Spline (mathematics),Symmetric function,Mathematical optimization,Bounded deformation,Finite set,Mathematical analysis,Uniform boundedness,Univariate,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
118
C
0378-4754
Citations 
PageRank 
References 
2
0.51
2
Authors
2
Name
Order
Citations
PageRank
A. Serghini1133.53
Ahmed Tijini2205.11