通过加权哈达玛德不等式得出的循环詹森差分新界限及其应用

IF 0.9 3区数学 Q2 MATHEMATICS

Mathematica Slovaca Pub Date : 2023-12-01 DOI:10.1515/ms-2023-0105

T. Rasheed, S. Butt, Ɖilda Pečarić, J. Pečarić

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引用次数: 0

摘要

摘要我们利用四凸函数理论，在引入的格林函数的作用下，对循环詹森不等式进行了归纳。我们提出了幂均值和准均值的结果。此外，我们还给出了广义 Csiszár 分歧、Rényi 分歧、香农熵、Kullback-Leibler 分歧和 χ2 分歧的新估计值，从而将其应用于信息论。

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New Bounds of Cyclic Jensen’s Differences via Weighted Hadamard Inequalities with Applications

ABSTRACT We generalize cyclic Jensen’s inequality utilizing the theory of 4-convex function under the effect of introduced Green functions. We formulate result for power means and quasi means. Also we give applications in information theory by giving new estimations of generalized Csiszár divergence, Rényi-divergence, Shannon-entropy, Kullback-Leibler divergence and χ2-divergence.

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来源期刊

Mathematica Slovaca 数学-数学

CiteScore

2.10

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc.　 The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.