Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
483475 | Journal of the Egyptian Mathematical Society | 2012 | 4 Pages |
Abstract
In this paper, we show that the ν-weighted arithmetic mean is greater than the product of the ν-weighted geometric mean and Specht’s ratio. As a corollary, we also show that the ν-weighted geometric mean is greater than the product of the ν-weighted harmonic mean and Specht’s ratio. These results give the improvements for the classical Young inequalities, since Specht’s ratio is generally greater than 1. In addition, we give an operator inequality for positive operators, applying our refined Young inequality.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Shigeru Furuichi,