Glasnik matematički, Vol. 34 No. 2, 1999.
Original scientific paper
On weighted Turan type inequality
Wei Xiao
Songping Zhou
Abstract
Let Hn be the class of real algebraic polynomials of degree n, whose zeros all lie in the interval [-1, 1]. Define || f || = max-1 ≤ x ≤ 1 | f(x)|. In 1939, Turan proved that for f ∈ Hn, || f ' || ≥ C√n || f ||. Usually, to establish weighted inequalities for polynomials requires more complicated techniques, especially in general cases. The object of this paper is to start the work in uniform norm under general requirements for weight functions.
Keywords
Hrčak ID:
6413
URI
Publication date:
1.12.1999.
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