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A new proof of inequalities for Gauss compound mean. (English) Zbl 1206.26023

Summary: In this short note, by structuring an auxiliary function and using known identity and inequalities, a new, elementary and succinct proof of inequalities for Gauss compound mean is given. Lastly, two open problems are posed.

MSC:

26D07 Inequalities involving other types of functions
26E60 Means
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