Best Chebyshev approximation and analytic continuation of functions (real case)
Abstract
In the present paper, sufficient conditions for holomorphic and meromorphic continuation of functions real-valued and continuous on a finite interval on the real axis are established. The results are provided in terms of best Chebyshev rational approximants with an unbounded number of the free poles.
- Publication:
-
Applications of Mathematics in Engineering and Economics (AMEE 2012)
- Pub Date:
- November 2012
- DOI:
- 10.1063/1.4766797
- Bibcode:
- 2012AIPC.1497..298N
- Keywords:
-
- Chebyshev approximation;
- rational functions;
- 02.30.Mv;
- Approximations and expansions