Research output: Contribution to journal › Article › peer-review
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 language | English |
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Pages (from-to) | 54-66 |
Number of pages | 13 |
Journal | Journal of Mathematical Sciences |
Volume | 159 |
Issue number | 1 |
DOIs | |
State | Published - 1 May 2009 |
ID: 35266384