On an Inequality of Diananda—Part IV

We extend the results in parts I–III on certain inequalities involving the weighted power means as well as the symmetric means. These inequalities can be largely viewed as concerning the bounds for ratios of differences of means and can be traced back to the work of Diananda.

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Main Author: Peng Gao
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/468290
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author Peng Gao
author_facet Peng Gao
author_sort Peng Gao
collection DOAJ
description We extend the results in parts I–III on certain inequalities involving the weighted power means as well as the symmetric means. These inequalities can be largely viewed as concerning the bounds for ratios of differences of means and can be traced back to the work of Diananda.
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institution Kabale University
issn 0161-1712
1687-0425
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publishDate 2009-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-7ec4f6295e3e48e899db393c22cfc74a2025-02-03T01:30:08ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/468290468290On an Inequality of Diananda—Part IVPeng Gao0Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 637371, SingaporeWe extend the results in parts I–III on certain inequalities involving the weighted power means as well as the symmetric means. These inequalities can be largely viewed as concerning the bounds for ratios of differences of means and can be traced back to the work of Diananda.http://dx.doi.org/10.1155/2009/468290
spellingShingle Peng Gao
On an Inequality of Diananda—Part IV
International Journal of Mathematics and Mathematical Sciences
title On an Inequality of Diananda—Part IV
title_full On an Inequality of Diananda—Part IV
title_fullStr On an Inequality of Diananda—Part IV
title_full_unstemmed On an Inequality of Diananda—Part IV
title_short On an Inequality of Diananda—Part IV
title_sort on an inequality of diananda part iv
url http://dx.doi.org/10.1155/2009/468290
work_keys_str_mv AT penggao onaninequalityofdianandapartiv