Bounds for the Jensen gap in terms of power means with applications
type: Item
instance of: scholarly article
title: Bounds for the Jensen gap in terms of power means with applications
zbMATH Open document ID: 1484.26103
DOI: 10.1155/2021/1388843
author: Xuexiao You
author: Muhammad Adil Khan
author: Hamid Reza Moradi
published in: Journal of Function Spaces
publication date: 2021-12-16T00:00:00Z
review text: Summary: Jensen's and its related inequalities have attracted the attention of several mathematicians due to the fact that Jensen's inequality has numerous applications in almost all disciplines of mathematics and in other fields of science. In this article, we propose new bounds for the difference of two sides of Jensen's inequality in terms of power means. An example has been presented for the importance and support of the main results. Related results have been given in quantum calculus. As consequences, improvements of quantum integral version of Hermite-Hadamard inequality have been derived. The obtained inequalities have been applied for some well-known inequalities such as Hermite-Hadamard, Hölder, and power mean inequalities. Finally, some applications are given in information theory. The tools performed for obtaining the main results may be applied to obtain more results for other inequalities.
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26E60
zbMATH DE Number: 7446717
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/1388843
OpenAlex ID: W3208417125
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description: scientific article; zbMATH DE number 7446717