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Degree of approximation of analytic functions by “near-best” polynomial approximants

✍ Scribed by V. V. Maimeskul


Publisher
Springer
Year
1995
Tongue
English
Weight
809 KB
Volume
11
Category
Article
ISSN
0176-4276

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Best uniform polynomial approximation of
✍ Mehdi Dehghan; M.R. Eslahchi 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 637 KB

In this research paper using the Chebyshev expansion, we explicitly determine the best uniform polynomial approximation out of P qn (the space of polynomials of degree at most qn) to a class of rational functions of the form 1/(T q (a) ± T q (x)) on [-1, 1], where T q (x) is the first kind of Chebys