On LR2-best rational approximants to Markov functions on several intervals
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2022-06
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American English
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Abstract
Let f(z)=∫(z−x)−1dμ(x), where μ is a Borel measure supported on several subintervals of (−1,1) with smooth Radon–Nikodym derivative. We study strong asymptotic behavior of the error of approximation (f−rn)(z), where rn(z) is the LR2-best rational approximant to f(z) on the unit circle with n poles inside the unit disk.
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Yattselev, M. L. (2022). On LR2-best rational approximants to Markov functions on several intervals. Journal of Approximation Theory, 278, 105738. https://doi.org/10.1016/j.jat.2022.105738
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Journal of Approximation Theory
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ArXiv
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