Suppose that (X, p) is a sermonized space, {xk}nk=0 is a linearly independent system of elements in X, {c k}nk=0 is a sequence of linear bounded functionals such that c k (xl) = δkl, Rn,r (x) = n ∑ k=0 (1 - (k/n+1)r) c k(x)xk are the Riesz sums. We prove general assertions concerning estimates from above for the values of semiadditive functionals Φ : X → ℝ+ by deviations of the Riesz sums p(x - R n,r (x)). Bibliography: 6 titles.

Original languageEnglish
Pages (from-to)54-66
Number of pages13
JournalJournal of Mathematical Sciences
Volume159
Issue number1
DOIs
StatePublished - 1 May 2009

    Scopus subject areas

  • Analysis

ID: 35266384