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Some remarks on mixed approximation problem. (English) Zbl 1363.65018

Brandts, J. (ed.) et al., Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, November 18–21, 2015. In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Prague: Czech Academy of Sciences, Institute of Mathematics (ISBN 978-80-85823-65-3). 236-241 (2015).
Summary: Several years ago, we discussed the problem of approximation polynomials with Milan Práger. This paper is a natural continuation of the work we collaborated on. An important part of numerical analysis is the problem of finding an approximation of a given function. This problem can be solved in many ways. The aim of this paper is to show how interpolation can be combined with the Chebyshev approximation.
For the entire collection see [Zbl 1329.00187].

MSC:

65D05 Numerical interpolation
41A05 Interpolation in approximation theory
41A50 Best approximation, Chebyshev systems

Software:

Matlab
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