2017
Том 69
№ 6

All Issues

Inequality of the Turan type for trigonometric polynomials and conjugate trigonometric polynomials in $L_0$

Adamov A. N.

Full text (.pdf)


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.

Full text