Majorants of remainders of Taylor series of bounded holomorphic functions
We study the behavior on the interval $[0,1]$ of the majorant $R_n$ of the $n$-remainders of Taylor's series for bounded holomorphic functions in the unit disk $\mathbb D$. An extremal problem of finding the $\max|f(z_1)-f(z_2)|,$ $z_1, z_2\in\mathbb D,$ for functions from such class is sol...
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| Date: | 2014 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2014
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/75 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Download file: |  |