Approximation Properties of Systems of Periodic Wavelets on the Cantor Group

Research outputpeer-review

Abstract

We construct systems of periodic dyadic wavelets and study approximation properties of such systems by using the notion of a multiresolution analysis. We prove a Jackson type inequality for the spaces constituting the multiresolution analysis and obtain a periodic analogue of the Strang–Fix condition.

Original languageEnglish
Pages (from-to)642-648
JournalJournal of Mathematical Sciences (United States)
Volume244
Issue number4
Early online date18 Dec 2019
DOIs
Publication statusPublished - Jan 2020

Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Analysis

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