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 \|_{\...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Oles Honchar Dnipro National University
2022-07-01
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| Series: | Researches in Mathematics |
| Subjects: | |
| Online Access: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/385/385 |