ZERO DISTRIBUTION OF MÜNTZ EXTREMAL POLYNOMIALS IN Lp [0, 1]
نویسنده
چکیده
Let {λj} ∞ j=0 be a sequence of distinct positive numbers. Let 1 ≤ p ≤ ∞ and Tn,p = Tn,p {λ0, λ1, λ2, . . . , λn} (x) denote the Lp extremal Müntz polynomial in [0, 1] with exponents λ0, λ1, λ2, . . . , λn. We investigate the zero distribution of {Tn,p} ∞ n=1. In particular, we show that if lim n→∞ λn n = α > 0, then the normalized zero counting measure of Tn,p converges weakly as n → ∞ to α π tα−1
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تاریخ انتشار 2006