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Strengthening the Comparison Theorem and Kolmogorov Inequality in the Asymmetric Case

We obtain the strengthened Kolmogorov comparison theorem in asymmetric case. In particular, it gives us the opportunity to obtain the following strengthened Kolmogorov inequality in the asymmetric case: $$ \|x^{(k)}_{\pm }\|_{\infty}\le \frac {\|\varphi _{r-k}( \cdot \;;\alpha ,\beta )_\pm \|_{\...

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Principais autores: V.A. Kofanov, K.D. Sydorovych
Format: Artigo
Jezik:Inglês
Izdano: Oles Honchar Dnipro National University 2022-07-01
Serija:Researches in Mathematics
Teme:
Online dostop:https://vestnmath.dnu.dp.ua/index.php/rim/article/view/385/385
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