Simultaneous approximation of a multivariate function and its derivatives by multilinear splines
نویسندگان
چکیده
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. c ⃝ 2014 Elsevier Inc. All rights reserved. MSC: 41A05; 41A10; 41A28
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عنوان ژورنال:
- Journal of Approximation Theory
دوره 183 شماره
صفحات -
تاریخ انتشار 2014