Inequality of the Turan type for trigonometric polynomials and conjugate trigonometric polynomials in $L_0$
Abstract
We study inequalities of the Turan type for trigonometric polynomials and conjugate trigonometric polynomials in the quasinorm of $L_0$ and derivatives of any order. We present expressions for constants in these inequalities and obtain double-sided estimates for them.
English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 7, pp 1169-1179.
Citation Example: Adamov A. N. Inequality of the Turan type for trigonometric polynomials and conjugate trigonometric polynomials in $L_0$ // Ukr. Mat. Zh. - 2009. - 61, № 7. - pp. 986-995.
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