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- W2800962568 abstract "In this paper, we generalize several Berezin number inequalities involving product of operators. For instance, we show that if $A, B$ are positive operators and $X$ is any operator, then begin{align*} textbf{ber}^{r}(H_{alpha}(A,B))&leqfrac{|X|^{r}}{2}textbf{ber}(A^{r}+B^{r})&leqfrac{|X|^{r}}{2}textbf{ber}(alpha A^{r}+(1-alpha)B^{r})+textbf{ber}((1-alpha)A^{r}+alpha B^{r}), end{align*} where $H_{alpha}(A,B)=frac{A^alpha XB^{1-alpha}+A^{1-alpha} XB^{alpha}}{2}$, $0leqalphaleq1$ and $rgeq2$." @default.
- W2800962568 created "2018-05-17" @default.
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- W2800962568 date "2018-05-08" @default.
- W2800962568 modified "2023-09-27" @default.
- W2800962568 title "Improvements of Berezin number inequalities." @default.
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