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arXiv · 2111.04729

Small perturbations on means and quasi-means

Abstract

We start to investigate how small changes on the definition of ordinary means affect their properties. Especially the property of being a mean. In that direction we are looking for weakenings of the basic defining property of means. Hence we introduce weaker notions in two directions. We investigate such functions and provide many examples as well.

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Attila Losonczi. 2021-11-06. Small perturbations on means and quasi-means. https://arxiv.org/abs/2111.04729

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