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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Also, by using the classical Jensen and Young inequalities, we obtain upper bounds for Berezin number of $A^{\alpha}XB^{\alpha}$ and $A^{\alpha}XB^{1-\alpha}$ for the case when $0\leq\alpha\leq1$.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we prove reverse inequalities for the so-called Berezin number of some operators.
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Key Findings & Data:In this paper, we prove reverse inequalities for the so-called Berezin number of some operators.
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Conclusion & Impact:Also, by using the classical Jensen and Young inequalities, we obtain upper bounds for Berezin number of $A^{\alpha}XB^{\alpha}$ and $A^{\alpha}XB^{1-\alpha}$ for the case when $0\leq\alpha\leq1$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Berezin number · positive operator · reproducing kernel Hilbert space
Abstract
In this paper, we prove reverse inequalities for the so-called Berezin number of some operators. Also, by using the classical Jensen and Young inequalities, we obtain upper bounds for Berezin number of $A^{\alpha}XB^{\alpha}$ and $A^{\alpha}XB^{1-\alpha}$ for the case when $0\leq\alpha\leq1$.
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Cite This Article
YAMANCI, U., TAPDIGOĞLU, M. (2019). Some results related to the Berezin number inequalities. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 4, 1940–1952. https://ajindex.com/articles/208981