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Volume 6, Issue 2, Article 30 |
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Stolarsky Means of Several Variables
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Authors: |
Edward Neuman, |
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Keywords:
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Stolarsky means, Dresher means, Dirichlet averages, Totally positive functions, Inequalities |
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Date Received:
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19/10/04 |
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Date Accepted:
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24/02/05 |
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Subject Codes: |
33C70, 26D20
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Editors: |
Zsolt Pales, |
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Abstract: |
A generalization of the Stolarsky means to the case of several variables is presented. The new means are derived from the logarithmic mean of several variables studied in [9]. Basic properties and inequalities involving means under discussion are included. Limit theorems for these means with the underlying measure being the Dirichlet measure are established.
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