N. V. Gaganov, I. A. Sheipak, “A boundedness criterion for the variations of self-similar functions”, Sibirsk. Mat. Zh., 2012, Volume 53, Number 1,Pages <nobr>68

This article is cited in 4 papers

A boundedness criterion for the variations of self-similar functions

N. V. Gaganov, I. A. Sheipak

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow

Abstract: We consider self-similar functions in the space $B[0,1]$ of bounded functions and prove a boundedness criterion in terms of self-similarity parameters for the variations of these functions.

Keywords: self-similar function, function of bounded variation.

UDC: 517.518

Received: 28.01.2011