English

Measuring sets by means

Classical Analysis and ODEs 2017-09-15 v1

Abstract

We are going to classify sets by a given mean in two ways. Firstly we study small and big sets regarding a given mean. Secondly we study sets that have the same weight according to a mean. We also generalize the notion of roundness and get another way to compare subsets by a mean.

Keywords

Cite

@article{arxiv.1709.04755,
  title  = {Measuring sets by means},
  author = {Attila Losonczi},
  journal= {arXiv preprint arXiv:1709.04755},
  year   = {2017}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1705.06344

R2 v1 2026-06-22T21:43:04.303Z