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Some notes on approximation of logarithms

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Abstract

Joint rational approximations to a collection of logarithms with a common denominator are considered. In this case each function is approximated at its zero. The asymptotic behavior of approximations is completely described in the real case of two logarithms, convergence of approximations is also investigated. A theoretic-potential interpretation is proposed.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russia

    V. N. Sorokin & E. N. Cherednikova

Authors
  1. V. N. Sorokin
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  2. E. N. Cherednikova
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Additional information

Original Russian Text © V.N. Sorokin, E.N. Cherednikova, 2007, published in Vestnik Moskovskogo Universiteta, Mathematika. Mekhanika, 2007, Vol. 62, No. 2, pp. 21–26.

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Sorokin, V.N., Cherednikova, E.N. Some notes on approximation of logarithms. Moscow Univ. Math. Bull. 62, 61–66 (2007). https://doi.org/10.3103/S0027132207020040

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  • DOI: https://doi.org/10.3103/S0027132207020040

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