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Interpolation of nonlinear functionals by integral continued fractions

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Abstract

We constructively prove the theorem of existence of an interpolation integral chain fraction for a nonlinear functionalF:Q[0,1]→R 1.

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Authors
  1. B. R. Mykhal’chuk
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Kiev University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 3, pp. 364–375, March, 1999.

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Mykhal’chuk, B.R. Interpolation of nonlinear functionals by integral continued fractions. Ukr Math J 51, 406–418 (1999). https://doi.org/10.1007/BF02592477

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  • DOI: https://doi.org/10.1007/BF02592477

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