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On approximation of multivalued mapping by algebraic polynomial with constraints

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Abstract

We consider a discrete problem of the best uniform approximation of multivalued mapping with segment images by an algebraic polynomial with constraints upon the value of the approximating polynomial in several nodes of grid. We establish a criterion of optimality of the solution, which is a generalization of the P. L. Chebyshev alternance.

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Authors and Affiliations

  1. Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russia

    I. Yu. Vygodchikova

Authors
  1. I. Yu. Vygodchikova
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Correspondence to I. Yu. Vygodchikova.

Additional information

Original Russian Text © I.Yu. Vygodchikova, 2015, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, No. 2, pp. 30–34.

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Vygodchikova, I.Y. On approximation of multivalued mapping by algebraic polynomial with constraints. Russ Math. 59, 25–28 (2015). https://doi.org/10.3103/S1066369X15020048

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  • DOI: https://doi.org/10.3103/S1066369X15020048

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