- Research Article
- Open Access
New Means of Cauchy's Type
Journal of Inequalities and Applicationsvolume 2008, Article number: 163202 (2008)
We will introduce new means of Cauchy's type defined, for example, as in the case when , . We will show that this new Cauchy's mean is monotonic, that is, the following result. Theorem. Let , such that , . Then for , one has . We will also give some related comparison results.
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