TITLE:
Matrices Associated with Moving Least-Squares Approximation and Corresponding Inequalities
AUTHORS:
Svetoslav Nenov, Tsvetelin Tsvetkov
KEYWORDS:
Moving Least-Squares Approximation, Singular-Values
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.14,
December
28,
2015
ABSTRACT: In this article, some properties of matrices of moving least-squares approximation have been proven. The used technique is based on known inequalities for singular-values of matrices. Some inequalities for the norm of coefficients-vector of the linear approximation have been proven.