Some Refinements of Inequalities for Circular Functions

We give new lower bound and upper bound for Papenfuss-Bach inequality and improve Ruehr-Shafer inequality by providing a new lower bound.

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Bibliographic Details
Main Authors: Zhengjie Sun, Ling Zhu
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2011/869261
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author Zhengjie Sun
Ling Zhu
author_facet Zhengjie Sun
Ling Zhu
author_sort Zhengjie Sun
collection DOAJ
description We give new lower bound and upper bound for Papenfuss-Bach inequality and improve Ruehr-Shafer inequality by providing a new lower bound.
format Article
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institution Kabale University
issn 1110-757X
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language English
publishDate 2011-01-01
publisher Wiley
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series Journal of Applied Mathematics
spelling doaj-art-29953721e56648f4b9fb3444eeb3cbe12025-02-03T01:21:20ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/869261869261Some Refinements of Inequalities for Circular FunctionsZhengjie Sun0Ling Zhu1Department of Mathematics, Zhejiang Gongshang University, Zhejiang, Hangzhou 310018, ChinaDepartment of Mathematics, Zhejiang Gongshang University, Zhejiang, Hangzhou 310018, ChinaWe give new lower bound and upper bound for Papenfuss-Bach inequality and improve Ruehr-Shafer inequality by providing a new lower bound.http://dx.doi.org/10.1155/2011/869261
spellingShingle Zhengjie Sun
Ling Zhu
Some Refinements of Inequalities for Circular Functions
Journal of Applied Mathematics
title Some Refinements of Inequalities for Circular Functions
title_full Some Refinements of Inequalities for Circular Functions
title_fullStr Some Refinements of Inequalities for Circular Functions
title_full_unstemmed Some Refinements of Inequalities for Circular Functions
title_short Some Refinements of Inequalities for Circular Functions
title_sort some refinements of inequalities for circular functions
url http://dx.doi.org/10.1155/2011/869261
work_keys_str_mv AT zhengjiesun somerefinementsofinequalitiesforcircularfunctions
AT lingzhu somerefinementsofinequalitiesforcircularfunctions