Best Chebyshev approximation and analytic continuation of functions (real case)

Nguyen, Elitsa

doi:10.1063/1.4766797

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Research Article| November 01 2012

Best Chebyshev approximation and analytic continuation of functions (real case)

Elitsa Nguyen

Technical University of Sofia, Department of Applied Mathematics and Informatics,

Bulgaria

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AIP Conf. Proc. 1497, 298–303 (2012)

https://doi.org/10.1063/1.4766797

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.

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2012

American Institute of Physics

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