This article is cited in 3 papers

Some Trigonometric Polynomials with Extremally Small Uniform Norm

P. G. Grigor'ev^a, A. O. Radomskii<sup>b

a</sup> Geogracom Ltd, Moscow, Russia
^b National Engineering Physics Institute "MEPhI", Moscow

Abstract: An example of trigonometric polynomials with extremally small uniform norm is given. This example shows the extent to which Sidon's inequality for lacunary polynomials can be generalized in a certain direction.

Keywords: trigonometric polynomial, lacunary polynomial, Sidon's inequality, Fejér kernel, Carleson–Hunt inequality.

UDC: 517.5

Received: 24.07.2014

DOI: 10.4213/mzm10610

 English version: Mathematical Notes, 2015, 98:2, 230–236

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