On Gauss compounding of symmetric weighted arithmetic means

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Abstract

In this research, we investigate Gauss compounding of time-variant (nonautonomous) symmetric weighted arithmetic means. We establish the existence of the compounded mean under an easy-to-apply criterion. Also, we investigate the properties that are enjoyed by the compounded mean.

Keywords

Compounding of means
Gauss compounding
Weighted arithmetic mean
Iteration of means

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