通过二次插值及其应用改进了jensen型不等式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.7153/jmi-2022-16-56

Duong Quoc Huy, T. Quang, Doan Thi Thuy Van

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引用次数: 0

摘要

．在论文中(J.数学)。不平等。11(2017)，第11号。(2)， Choi, Krni´c和Pe´cari´c利用线性插值改进了凸函数的jensen型不等式。他们的方法也为许多与Young-type和Heinz-type不等式相关的最新结果提供了一种单定的方法和更简单的证明。本文利用凸函数的二次插值，对由Choi、Krni′c和Pe′cari′c建立的jensen型不等式提出了新的修正。我们还给出了标量和算子情况下的young型和heinz型不等式的应用。

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Improved Jensen-type inequalities via quadratic interpolation and applications

. In the paper (J. Math. Inequal. 11 (2017), no. 2, 301–322.), Choi, Krni´c and Pe ˇ cari´c used the linear interpolation to improve Jensen-type inequalities for convex functions. Their method also provides a uni ﬁ ed approach with simpler proofs for many recent results related to Young-type and Heinz-type inequalities. In this paper, we propose new re ﬁ nements of Jensen-type inequalities established by Choi, Krni´c and Pe ˇ cari´c via the quadratic interpolation of convex functions. We also give Young-type and Heinz-type inequalities for both scalars and operator cases as an application.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.