Extremal Problems for Nonnegative Polynomials in L Norm with Generalized Laguerre Weight
نویسندگان
چکیده
This result was obtained also by N. Bari [1] using very different methods. The factor n in (1.1) cannot be replaced by any function tending to infinity more slowly. Namely, for each n exist polynomials P (t) of degree n such that the left side of (1.1) is ≤ Bn, where B is a constant of the same nature as A. Under only a little restriction on the zeros of P (z), M. A. Malik [4] found the following improvements of Theorem 1.1:
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