On the unicity in simultaneous approximation by algebraic polynomials
نویسندگان
چکیده
منابع مشابه
Simultaneous Approximation of Polynomials
Let Pd denote the family of all polynomials of degree at most d in one variable x, with real coefficients. A sequence of positive numbers x1 ≤ x2 ≤ . . . is called Pd-controlling if there exist y1, y2, . . . ∈ R such that for every polynomial p ∈ Pd there exists an index i with |p(xi)−yi| ≤ 1. We settle an problem of Makai and Pach (1983) by showing that x1 ≤ x2 ≤ . . . is Pd-controlling if and...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1976
ISSN: 0021-9045
DOI: 10.1016/0021-9045(76)90011-3