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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Format: | Article |
Language: | English |
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Wiley
2009-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2009/468290 |
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_version_ | 1832559426607775744 |
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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. |
format | Article |
id | doaj-art-7ec4f6295e3e48e899db393c22cfc74a |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2009-01-01 |
publisher | Wiley |
record_format | Article |
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 |