Markov Type Polynomial Inequality for Some Generalized Hermite Weight
نویسندگان
چکیده
i=0 (n − i)‖p‖∞, p(x) ∈ Πn, 1 ≤ k ≤ n are typical examples of inequalities connecting norms of a polynomial and its derivatives. In (1.1) the equality holds only at x = ±1 and only when p(x) = cTn(x), where Tn(x) is the Chebyshev polynomial of the first kind of a degree n c © 2011 Mathematical Institute, Slovak Academy of Sciences. 2010 Mathemat i c s Sub j e c t C l a s s i f i c a t i on: 33C45, 41A17.
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تاریخ انتشار 2012