Small perturbations on means and quasi-means
General Mathematics
2021-12-22 v3
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.
Keywords
Cite
@article{arxiv.2111.04729,
title = {Small perturbations on means and quasi-means},
author = {Attila Losonczi},
journal= {arXiv preprint arXiv:2111.04729},
year = {2021}
}