A Note on Jordan, Adamović-Mitrinović, and Cusa Inequalities

We improve the Jordan, Adamović-Mitrinović, and Cusa inequalities. As applications, several new Shafer-Fink type inequalities for inverse sine function and bivariate means inequalities are established, and a new estimate for sine integral is given.

Bibliographic Details
Main Authors: Zhen-Hang Yang, Yu-Ming Chu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/364076
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spelling doaj-016aa514234f41c1b6094f9a81c7d35e2020-11-24T22:55:02ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/364076364076A Note on Jordan, Adamović-Mitrinović, and Cusa InequalitiesZhen-Hang Yang0Yu-Ming Chu1School of Mathematics and Computation Science, Hunan City University, Yiyang 413000, ChinaSchool of Mathematics and Computation Science, Hunan City University, Yiyang 413000, ChinaWe improve the Jordan, Adamović-Mitrinović, and Cusa inequalities. As applications, several new Shafer-Fink type inequalities for inverse sine function and bivariate means inequalities are established, and a new estimate for sine integral is given.http://dx.doi.org/10.1155/2014/364076
collection DOAJ
language English
format Article
sources DOAJ
author Zhen-Hang Yang
Yu-Ming Chu
spellingShingle Zhen-Hang Yang
Yu-Ming Chu
A Note on Jordan, Adamović-Mitrinović, and Cusa Inequalities
Abstract and Applied Analysis
author_facet Zhen-Hang Yang
Yu-Ming Chu
author_sort Zhen-Hang Yang
title A Note on Jordan, Adamović-Mitrinović, and Cusa Inequalities
title_short A Note on Jordan, Adamović-Mitrinović, and Cusa Inequalities
title_full A Note on Jordan, Adamović-Mitrinović, and Cusa Inequalities
title_fullStr A Note on Jordan, Adamović-Mitrinović, and Cusa Inequalities
title_full_unstemmed A Note on Jordan, Adamović-Mitrinović, and Cusa Inequalities
title_sort note on jordan, adamović-mitrinović, and cusa inequalities
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We improve the Jordan, Adamović-Mitrinović, and Cusa inequalities. As applications, several new Shafer-Fink type inequalities for inverse sine function and bivariate means inequalities are established, and a new estimate for sine integral is given.
url http://dx.doi.org/10.1155/2014/364076
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