POST-QUANTUM HERMITE–JENSEN–MERCER INEQUALITIES

IF 0.7 4区数学 Q2 MATHEMATICS

Rocky Mountain Journal of Mathematics Pub Date : 2023-02-01 DOI:10.1216/rmj.2023.53.17

M. Bohner, H. Budak, Hasan Kara

引用次数: 2

Abstract

. The Jensen–Mercer inequality, which is well known in the literature, has an important place in mathematics and related disciplines. In this work, we obtain the Hermite–Jensen–Mercer inequality for post-quantum integrals by utilizing Jensen–Mercer inequalities. Then we investigate the connections between our results and those in earlier works. Moreover, we give some examples to illustrate the main results in this paper. This is the ﬁrst paper about Hermite–Jensen–Mercer inequalities for post-quantum integrals.

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后量子hermite-jensen-mercer不等式

文献中众所周知的Jensen–Mercer不等式在数学及相关学科中占有重要地位。在这项工作中，我们利用Jensen–Mercer不等式得到了后量子积分的Hermite–Jensen–Mercurer不等式。然后，我们研究了我们的结果与早期工作中的结果之间的联系。此外，我们还举例说明了本文的主要结果。这是第一篇关于后量子积分的Hermite–Jensen–Mercer不等式的论文。

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

Rocky Mountain Journal of Mathematics 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

7.5 months

期刊介绍： Rocky Mountain Journal of Mathematics publishes both research and expository articles in mathematics, and particularly invites well-written survey articles. The Rocky Mountain Journal of Mathematics endeavors to publish significant research papers and substantial expository/survey papers in a broad range of theoretical and applied areas of mathematics. For this reason the editorial board is broadly based and submissions are accepted in most areas of mathematics. In addition, the journal publishes specialized conference proceedings.