Refinements of Bounds for Neuman Means

We present the sharp bounds for the Neuman means SHA, SAH, SCA and SAC in terms of the arithmetic, harmonic, and contraharmonic means. Our results are the refinements or improvements of the results given by Neuman.

Bibliographic Details
Main Authors: Yu-Ming Chu, Wei-Mao Qian
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/354132
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spelling doaj-e40bb7dbc6734c22b8182cda2c8d53b42020-11-24T23:42:32ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/354132354132Refinements of Bounds for Neuman MeansYu-Ming Chu0Wei-Mao Qian1School of Mathematics and Computation Science, Hunan City University, Yiyang 413000, ChinaSchool of Distance Education, Huzhou Broadcast and TV University, Huzhou 313000, ChinaWe present the sharp bounds for the Neuman means SHA, SAH, SCA and SAC in terms of the arithmetic, harmonic, and contraharmonic means. Our results are the refinements or improvements of the results given by Neuman.http://dx.doi.org/10.1155/2014/354132
collection DOAJ
language English
format Article
sources DOAJ
author Yu-Ming Chu
Wei-Mao Qian
spellingShingle Yu-Ming Chu
Wei-Mao Qian
Refinements of Bounds for Neuman Means
Abstract and Applied Analysis
author_facet Yu-Ming Chu
Wei-Mao Qian
author_sort Yu-Ming Chu
title Refinements of Bounds for Neuman Means
title_short Refinements of Bounds for Neuman Means
title_full Refinements of Bounds for Neuman Means
title_fullStr Refinements of Bounds for Neuman Means
title_full_unstemmed Refinements of Bounds for Neuman Means
title_sort refinements of bounds for neuman means
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We present the sharp bounds for the Neuman means SHA, SAH, SCA and SAC in terms of the arithmetic, harmonic, and contraharmonic means. Our results are the refinements or improvements of the results given by Neuman.
url http://dx.doi.org/10.1155/2014/354132
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AT weimaoqian refinementsofboundsforneumanmeans
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