再生核希尔伯特空间上算子的贝雷津数的改进上界
Improved upper bounds for the Berezin numbers of operators on reproducing kernel Hilbert spaces
AI总结：
研究再生核希尔伯特空间上算子的贝雷津数上界，利用对称均值和奥利奇函数的插值路径及改进的杨氏不等式得出结果，改进推广了已知发现并推导了不等式。
AI中文摘要：
本文通过使用对称均值和奥利奇函数的插值路径，得到了再生核希尔伯特空间上有界线性算子贝雷津数的几个上界。通过对这些路径和函数的适当选择，表明这里的结果改进并推广了一些先前已知的发现。此外，利用改进的杨氏不等式推导了此类算子的一些贝雷津数不等式。
英文摘要：
In this article, several upper bounds for the Berezin numbers of bounded linear operators on reproducing kernel Hilbert spaces are obtained through the use of interpolation paths of symmetric means and Orlicz functions. With suitable selections of these paths and functions, we show that the results presented here refine and generalize several earlier known findings. Furthermore, we derive some Berezin number inequalities for such operators using refined Young's inequalities.
