Abstract
We consider the minimax model of a nonlinear structure for approximating a two-valued function by an algebraic polynomial. We establish optimality conditions as a strong generalization of P. L. Chebyshev alternance optimality conditions in approximation of a function by a polynomial.
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Original Russian Text © I.Yu. Vygodchikova, 2016, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, No. 4, pp. 8–13.
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Vygodchikova, I.Y. Approximation of a two-valued function by an algebraic polynomial. Russ Math. 60, 5–9 (2016). https://doi.org/10.3103/S1066369X16040022
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DOI: https://doi.org/10.3103/S1066369X16040022