Abstract

By using lemmas of Dubinin and Osserman some results for rational functions with fixed poles and restricted zeros are proved. The obtained results strengthen some known results for rational functions and, in turn, produce refinements of some polynomial inequalities as well.

中文翻译：

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具有固定极点的有理函数的一些不等式

摘要

通过使用Dubinin和Osserman的引理，证明了具有固定极点和受限零点的有理函数的一些结果。所获得的结果加强了关于有理函数的一些已知结果，进而对某些多项式不等式进行了改进。