This article is cited in 2 papers

A generalization of the universality of power lacunary series

N. V. Gosteva, L. K. Dodunova

Chair of Function Theory, Nizhni Novgorod State University, Nizhni Novgorod, Russia

Abstract: In this paper we consider the uniform approximation of a function from a certain class by sums obtained as a result of some matrix transformation of the universal power lacunary series.

Keywords: universal, power lacunary series, uniform approximation.

UDC: 517.537

Received: 18.03.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:3, 1–5

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