DOIAbstract
AbstractThree extremal problems for trigonometric polynomials are studied in this paper. The first was initiated by Maiorov. It relates to the trigonometric polynomials with n nonzero harmonics. The Lp-norm of the Weyl derivative is compared with the Lq-norm of the polynomial. The other two problems have appeared in the recent paper by Oswald. They deal with the polynomials of degree n. The minimum of Lp-norm with respect to the choice of phases is compared with lq-norm of its coefficients
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