Article ID Journal Published Year Pages File Type
10678380 Applied Mathematics Letters 2005 4 Pages PDF
Abstract
Given an integer function f, the problem is to find its best uniform approximation from a set K of integer-valued bounded functions. Under certain conditions on K, the best extremal (maximal or minimal) approximation is identified. Furthermore, the operator mapping f to its extremal best approximation is shown to be Lipschitzian with some constant C or optimal Lipschitzian having the smallest C among all such operators. The results are applied to approximation problems.
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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