Order relations among some interpolating families of means

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説明

Some interpolating families of means of two positive numbers with a parameter are studied. They are concerned with some of the most familiar means, i.e., the arithmetic, geometric, harmonic, logarithmic means and so on. Their monotonicity with respect to the parameter and the order relations among them are discussed.

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  • Toyama mathematical journal

    Toyama mathematical journal 35 35-48, 2012

    Dept. of Mathematics, Faculty of Science, University of Toyama

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