Sharp Extensions of a Cusa-Huygens Type Inequality

In this article, we propose an extension and generalization of a Cusa-Huygens type inequality and thus refine an existing inequality in the literature. As an application, we extend the improved Shafer's inequality for the arctangent function.

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Publication Details

Journal
Armenian Journal of Mathematics
Published
2024-12-12
DOI
https://doi.org/10.52737/18291163-2024.16.14-1-12
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Sharp Extensions of a Cusa-Huygens Type Inequality

Yogesh J. Bagul, Christophe Chesneau
Armenian Journal of Mathematics
Mathematical Inequalities and Applications
article

Sharp Extensions of a Cusa-Huygens Type Inequality

Yogesh J. Bagul, Christophe Chesneau
article en

Abstract

In this article, we propose an extension and generalization of a Cusa-Huygens type inequality and thus refine an existing inequality in the literature. As an application, we extend the improved Shafer's inequality for the arctangent function.

Armenian Journal of Mathematics
Normandie Université (FR)
Openalex Percentile: Top 56%
Mathematical Inequalities and Applications
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Sharp Extensions of a Cusa-Huygens Type Inequality — Yogesh J. Bagul, Christophe Chesneau · Armenian Journal of Mathematics (2024) | TGRS Research Map | TGRS