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New Means of Cauchy's Type


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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Correspondence to Matloob Anwar.

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Anwar, M., Pečarić, J. New Means of Cauchy's Type. J Inequal Appl 2008, 163202 (2008).

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