通过超二次性的外部jensen型算子不等式

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics Pub Date : 2020-01-01 DOI:10.2298/aadm191010031k

M. Kian, M. Krnic, M. Rostamian

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引用次数: 0

摘要

本文建立了一类超二次函数和自伴随算子的jensen型算子不等式。我们的结果是以所谓的外在形式给出的。作为应用，我们给出了H?lder-McCarthy不等式和经典的离散和积分Jensen不等式在相应的外部形式。此外，建立的jensen型不等式与以前已知的结果进行了比较，我们表明我们的结果在一些一般设置中提供了更准确的估计。

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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External Jensen-type operator inequalities via superquadraticity

In this paper we establish several Jensen-type operator inequalities for a class of superquadratic functions and self-adjoint operators. Our results are given in the so-called external form. As an application, we give improvements of the H?lder-McCarthy inequality and the classical discrete and integral Jensen inequality in the corresponding external forms. In addition, the established Jensen-type inequalities are compared with the previously known results and we show that our results provide more accurate estimates in some general settings.

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来源期刊

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).