[PDF][PDF] Strengthening the Comparison Theorem and Kolmogorov Inequality in the Asymmetric Case
VA Kofanov, KD Sydorovych - Researches in Mathematics, 2022 - vestnmath.dnu.dp.ua
VA Kofanov, KD Sydorovych
Researches in Mathematics, 2022•vestnmath.dnu.dp.ua… We obtain an strengthening the Kolmogorov comparison theorem. In particular, it gives
us the opportunity to obtain such strengthening Kolmogorov inequality in the asymmetric
case: … In this paper, we obtain (Theorem 1) a strengthening of Theorem B in which
condition (2) (x± ∞ ≤ ϕλ,r(·;α, β)± ∞) теоремы B replaced by a weaker condition |||x|||∞ ≤
E0(ϕλ,r(t;α, β))∞, where …
us the opportunity to obtain such strengthening Kolmogorov inequality in the asymmetric
case: … In this paper, we obtain (Theorem 1) a strengthening of Theorem B in which
condition (2) (x± ∞ ≤ ϕλ,r(·;α, β)± ∞) теоремы B replaced by a weaker condition |||x|||∞ ≤
E0(ϕλ,r(t;α, β))∞, where …
Abstract
We obtain an strengthening the Kolmogorov comparison theorem. In particular, it gives us the opportunity to obtain such strengthening Kolmogorov inequality in the asymmetric case: x (k)±∞≤ ϕr− k (·; α, β)±∞
vestnmath.dnu.dp.ua
Показан лучший результат поиска по этому запросу. Все результаты