Approximation by periodic multivariate quasi-projection operators

Yu. Kolomoitsev, A. Krivoshein, M. Skopina

Research output


Approximation properties of periodic quasi-projection operators with matrix dilations are studied. Such operators are generated by a sequence of functions φj and a sequence of distributions/functions φ˜j. Error estimates for sampling-type quasi-projection operators are obtained under the periodic Strang-Fix conditions for φj and the compatibility conditions for φj and φ˜j. These estimates are given in terms of the Fourier coefficients of approximated functions and provide analogs of some known non-periodic results. Under some additional assumptions error estimates are given in other terms in particular using the best approximation. A number of examples are provided.

Original languageEnglish
Article number124192
JournalJournal of Mathematical Analysis and Applications
Issue number2
Early online date4 May 2020
Publication statusPublished - 15 Sep 2020

Scopus subject areas

  • Analysis
  • Applied Mathematics

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