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An abstract approach to rational interpolation

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Abstract

The Hermite rational interpolation is described in terms of linear polynomial projections.

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References

  1. Gončar, A. A.: On the convergence of generalized Pade approximants of meromorphic functions. Mat. Sb.98 (140), 564–577 (1975) (Russian); Engl. transl. in: Math. USSR Sb.27 (1975).

    Google Scholar 

  2. Hille, E.: Analytic Function Theory. Boston-New York-Chicago: Ginn & Comp. 1962.

    Google Scholar 

  3. Ibragimov, I. I.: Methods of Interpolation of Functions and some Applications. Moscow: Nauka. 1971 (Russian).

    Google Scholar 

  4. Karlsson, J., Saff, E. B.: Singularities of functions determined by the poles of Padé approximants. In: Padé Approximation and its Applications. Amsterdam 1980; Proc. Lect. Notes Math. 888, pp. 239–254. Berlin-Heidelberg-New York: Springer. 1981.

    Google Scholar 

  5. Kovačeva, R. K.: Generalized Padé approximants and meromorphic continuation of functions. Mat. Sb.109 (151), 365–374 (1979) (Russian); Engl. transl. in: Math. USSR Sb.97, 337–346 (1980).

    Google Scholar 

  6. Leja, F.: Analytic Functions Theory. Warsaw: Polish Scient. Publ. 1957 (Polish).

    Google Scholar 

  7. Montessus de Ballore, R.: Sur les fractions continues algebriques. Bull. Soc. Math. France30, 28–36 (1902).

    Google Scholar 

  8. Saff, E. B.: An extension of Montessus de Ballore's theorem on the convergence of interpolating rational functions. J. Approx. Theory6, 63–68 (1972).

    Google Scholar 

  9. Suetin, P. K.: Series of Faber Polynomials. Moscow: Nauka. 1984 (Russian).

    Google Scholar 

  10. Walsh, J. L.: The convergence of approximating rational functions of prescribed type. In: Contemporary Problems of Analytic Functions Theory, pp. 304–308. Moscow: Nauka. 1966.

    Google Scholar 

  11. Walsh, J. L.: Interpolation and Approximation by Rational Functions in the Complex Domain. Providence, R. I.: Amer. Math. Soc. 1969.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics, St. Staszic University of Mining and Metallurgy, Al. Mickiewicza 30, PL-30 059, Kraków, Poland

    K. Reczek

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  1. K. Reczek
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Reczek, K. An abstract approach to rational interpolation. Monatshefte für Mathematik 113, 311–318 (1992). https://doi.org/10.1007/BF01301073

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  • DOI: https://doi.org/10.1007/BF01301073

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