Distribution of poles of rational functions of best approximation
โ Scribed by G. A. Volkov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1970
- Tongue
- English
- Weight
- 154 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
From (1) it follows that y ( z ) has in zk a zero of order not less than vk . Since y ( z ) is holomorphic in the neighborhood of every point of %'K (including z = a), it follows from Hypothesis 6, that y ( z ) vanishes identically in VK. On the other hand, we have for large IzJ of 5. 1 We say tha
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) ยฑ T q (x)) on [-1, 1], where T q (x) is the first kind of Chebys