New Means of Cauchy's Type
© M. Anwar and J. Pečarć. 2008
Received: 30 December 2007
Accepted: 7 April 2008
Published: 16 April 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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