This article is cited in 4 papers

Exact relationships between certain characteristics of growth for complex sequences

G. G. Braichev

Moscow State Pedagogical University, Moscow, Russia

Abstract: We establish exact estimates relating the classical densities of complex sequences (ordinary and averaged) with relative densities and lacunarity and sparsity indices.

Keywords: the upper and lower (average) densities, lacunarity and sparsity indices of sequence.

UDC: 517.521+517.547.22

MSC: 11B05, 11L07

Received: 13.05.2013

 English version: Ufa Mathematical Journal, 2013, 5:4, 16–29

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