We solve the problem of the best rational approximations of Bergman kernels on the unit circle in the complex plane in the quadratic and uniform metrics.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 11, pp. 1577–1584, November, 2017.
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Chaichenko, S.O. Approximation of Bergman Kernels by Rational Functions with Fixed Poles. Ukr Math J 69, 1835–1844 (2018). https://doi.org/10.1007/s11253-018-1473-4
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DOI: https://doi.org/10.1007/s11253-018-1473-4