Improved Jensen-type inequalities via quadratic interpolation and applications

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

引用次数: 0

Abstract

. 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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通过二次插值及其应用改进了jensen型不等式

．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。

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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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

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