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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 4, Pages 8–13
(Mi ivm9099)
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This article is cited in 1 scientific paper (total in 1 paper)
Approximation of double-valued function by an algebraic polynomial
I. Yu. Vygodchikova Saratov State University, 83 Astrakhanskaya str., Saratov, 410012 Russia
Abstract:
We consider the minimax model of nonlinear structure for approximation of double-valued function by an algebraic polynomial. We give the conditions of optimality in the form of far-reaching generalization of P. L. Chebyshev's alternance conditions in the problem of approximation of a function by a polynomial.
Keywords:
minimax, nonsmooth analysis, double-valued function, selector, approximating polynomial.
Received: 20.08.2014
Citation:
I. Yu. Vygodchikova, “Approximation of double-valued function by an algebraic polynomial”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 4, 8–13; Russian Math. (Iz. VUZ), 60:4 (2016), 5–9
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https://www.mathnet.ru/eng/ivm9099 https://www.mathnet.ru/eng/ivm/y2016/i4/p8
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Abstract page: | 139 | Full-text PDF : | 51 | References: | 42 | First page: | 4 |
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