Department
Mathematics
Document Type
Article
Publication Date
8-7-2013
Abstract
In this paper we consider the approximation of a function by its interpolating multilinear spline and the approximation of its derivatives by the derivatives of the corresponding spline. We obtain the exact uniform approximation error on classes of functions with moduli of continuity bounded above by certain majorants.
Journal Title
Journal of Approximation Theory
Journal ISSN
0021-9045
Volume
183
First Page
82
Last Page
97
Digital Object Identifier (DOI)
10.1016/j.jat.2014.04.013