On analogs of Steklov averages for functions defined on convex compact sets in R m

Research output

Abstract

For an arbitrary nondegenerate convex compact set K ⊂ ℝm we construct analogs of Steklov functions. We establish estimates for the seminorms in the space of continuous functions on K in terms of various moduli of continuity. Some uniform approximation aggregates for functions of two variables are also studied. Bibliography: 11 titles.

Original languageEnglish
Pages (from-to)379-399
Number of pages21
JournalJournal of Mathematical Sciences
Volume132
Issue number4
DOIs
Publication statusPublished - 1 Jan 2006

Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

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