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A priori estimates of the approximation errors of a multidimensionalg-fraction

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Abstract

Applying a multidimensional π-fraction, we establish estimates of the rate of convergence of a multidimensional g-fraction in certain bounded domains.

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Literature cited

  1. D. I. Bodnar,Branched Continued Fractions [in Russian], Naukova Dumka, Kiev (1986).

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  2. W. Jones and W. Thron,Continued Fractions: Analytic Theory and Applications, Addison-Wesley, Reading, MA (1980).

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  3. W. S. Wall,Analytic Theory of Continued Fractions, Van Nostrand, New York (1948).

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Authors
  1. R. I. Dmitrishin
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Additional information

Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 4, 1997, pp. 10–12.

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Dmitrishin, R.I. A priori estimates of the approximation errors of a multidimensionalg-fraction. J Math Sci 96, 2948–2950 (1999). https://doi.org/10.1007/BF02169685

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  • DOI: https://doi.org/10.1007/BF02169685

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