UPPER BOUNDS FOR THE Lq NORM OF FEKETE POLYNOMIALS ON SUBARCS
نویسنده
چکیده
where the coefficients are Legendre symbols, is called the p-th Fekete polynomial. In this paper the size of the Fekete polynomials on subarcs is studied. We prove essentially sharp bounds for the average value of |fp(z)| , 0 < q < ∞, on subarcs of the unit circle even in the cases when the subarc is rather small. Our upper bounds are matching with the lower bounds proved in a preceding paper for the L0 norm of the Fekete polynomials on subarcs of the unit circle.
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