Kantorovich型、Schwarz和Berezin数不等式的改进

Q3 Mathematics Extracta Mathematicae Pub Date : 2020-05-14 DOI:10.17398/2605-5686.35.1.1

M. Garayev, F. Bouzeffour, M. Gürdal, C. M. Yangoz

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引用次数: 14

摘要

本文利用Kantorovich和Kantorovic型不等式来证明一些新的Berezin数不等式。此外，通过对经典Schwarz不等式的改进，我们证明了f（a）幂的Berezin数不等式，其中a是Hardy空间H2（D）上的自伴随算子，f是正连续函数。文中还讨论了一些相关问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Refinements of Kantorovich type, Schwarz and Berezin number inequalities

In this article, we use Kantorovich and Kantorovich type inequalities in order to prove some new Berezin number inequalities. Also, by using a refinement of the classical Schwarz inequality, we prove Berezin number inequalities for powers of f(A), where A is self-adjoint operator on the Hardy space H2 (D) and f is a positive continuous function. Some related questions are also discussed.

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