更多与同步和异步函数相关的不等式

Pub Date : 2023-01-01 DOI:10.2298/fil2308599g

Mahdi Ghasvareh, M. Omidvar

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引用次数: 0

摘要

本文给出了同步函数和异步函数的算子和范数不等式。在其他不等式中，它表明如果A, B ?B(H)是两个正算子f,g: J ?R是异步函数，那么f(A)g(A) + f(B)g(B) ?1/2(f2(A)+12 (A)+ f2(B)+g2(B))

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Further inequalities related to synchronous and asynchronous functions

This paper intends to show some operator and norm inequalities involving synchronous and asynchronous functions. Among other inequalities, it is shown that if A, B ? B(H) are two positive operators and f,g: J ? R are asynchronous functions, then f(A)g(A) + f(B)g(B) ? 1/2(f2(A)+12 (A) + f2(B)+g2(B)).

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