Bernstein inequality in $L_0$ for the zeroth-order derivative of trigonometric polynomials

A. O. Leont'eva

Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 2, pp. 216-223

Résumé

Close two-sided estimates are obtained for the best constant in the Bernstein inequality for the zeroth-order derivative of trigonometric polynomials in the $L_0$ metric. These estimates give, in particular, the order of the behavior of the constant with respect to the order of the polynomial.

Détail

Keywords: trigonometric polynomial, Weyl derivative, Bernstein inequality.

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