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On approximation of functions by two-dimensional continued fractions

  • Continued Fractions
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Rational Approximation and its Applications in Mathematics and Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1237))

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References

  1. P. I. Bodnarchuk, Ch. J. Kuchminskaja, Interpolation and approximationformulas for multivariate functions in branched continued fraction forms, Mat.Metody i Fiz.-Mech.Polya, 2 /1975/, /in Russian/

    Google Scholar 

  2. W. B. Jones, W. J. Thron, Continued Fractions: Analytic Theory and Applications, Addison Wesley, Reading, London /1980/

    MATH  Google Scholar 

  3. Kh. I. Kuchminskaya, Approximation and interpolation of Functions by continued and branched continued fractions, Thesis, L'vov, /1976/, /in Russian/

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  4. Kh. I. Kuchminskaya, Corresponding and associated branched continued fractions for double power series, Doklady Akad.Nauk Ukr.SSR, Ser.A, 7 /1978/, 614–617, /in Russian/

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  5. Kh. I. Kuchminskaya On approximation of functions by continued and branched continued fractions, Mat.Metody i Fiz.-Mech. Polya, 12/1980/, 3–10, /in Russian/

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  6. Kh. I. Kuchminskaya, On sufficient conditions of the absolute convergence of two dimensional continued fractions, Mat.Metody i Fiz.-Mech. Polya, 20 /1984/, 19–23, /in Russian/

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  7. Kh. I. Kuchminskaya, On the convergence of two dimensional continued fractions, Constructive Theory of Functions '84, Publishing House of the Bulgarian Academy of Sciences, Sofia /1984/, 501–506

    MATH  Google Scholar 

  8. J.A. Murphy, M. R. O'Donohoe, A two variable generalization of the Stieltjes-type continued fraction, J.Comp.Appl.Math., 4 /3/ /1978/, 181–190

    Article  MathSciNet  MATH  Google Scholar 

  9. W. Siemaszko, Branched continued fractions for double power series, J. Comp.Appl.Math., 6 /2/, /1980/, 121–125

    Article  MathSciNet  MATH  Google Scholar 

  10. W. Siemaszko, Thiele-type branched continued fractions for two-variable functions, J. Comp.Appl.Math., 9 /1983/, 137–153

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Institute of Applied Problems of Mechanics and Mathematics, Ukrainian Academy of Sciences, 290047, Lvov, U.S.S.R.

    Kh. I. Kuchminskaya

Authors
  1. Kh. I. Kuchminskaya
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Jacek Gilewicz Maciej Pindor Wojciech Siemaszko

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© 1987 Springer-Verlag

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Kuchminskaya, K.I. (1987). On approximation of functions by two-dimensional continued fractions. In: Gilewicz, J., Pindor, M., Siemaszko, W. (eds) Rational Approximation and its Applications in Mathematics and Physics. Lecture Notes in Mathematics, vol 1237. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072465

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  • DOI: https://doi.org/10.1007/BFb0072465

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17212-3

  • Online ISBN: 978-3-540-47412-8

  • eBook Packages: Springer Book Archive

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