On a Class of Tchebysheffian Approximation Problems Solvable Algebraically
- 1 April 1962
- journal article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 58 (2) , 244-267
- https://doi.org/10.1017/s0305004100036483
Abstract
The general Tchebysheffian approximation problem is the following: Given a real continuous function g(x) in the interval a ≤ x ≤ b, and a real function f(x; Pj) of prescribed form, continuous in the variable x and the parameters Pj , determine the values of the parameters so that the measure of absolute error or ‘deviation’ of f, shall be as small as possible.Keywords
This publication has 3 references indexed in Scilit:
- Theory of Approximation. By N. I. Achieser. (Translated by C. J. Hyman) Pp. x, 307. 40s. 1958 (Frederich Unger, N Y.; Constable, London)The Mathematical Gazette, 1960
- Über ein Tschebyscheffsches ExtremumproblemMathematische Annalen, 1931
- Ueber die Integration der Differential-Formel , wenn R und ϱ ganze Functionen sind.Journal für die reine und angewandte Mathematik (Crelles Journal), 1826