Department
Mathematics
Document Type
Article
Publication Date
4-26-2014
Abstract
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. [Copyright &y& Elsevier]
Comments
NOTICE: this is the author’s pre-print version of a work that was accepted for publication in Journal of Business Research. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Business Research , [VOL#183, ISSUE#, (July 2014)] DOI# http://dx.doi.org/10.1016/j.jat.2014.04.013