On the Hardy property of mixed means
Classical Analysis and ODEs
2022-06-10 v1
Abstract
Hardy property of means has been extensively studied by P\'ales and Pasteczka since 2016. The core of this research is based on few of their properties: concavity, symmetry, monotonicity, repetition invariance and homogeneity (last axiom was recently omitted using some homogenizations techniques). In the present paper we deliver a study of possible omitting monotonicity and replacing repetition invariance by a weaker axiom. These results are then used to establish the Hardy constant for certain types of mixed means.
Cite
@article{arxiv.2104.05546,
title = {On the Hardy property of mixed means},
author = {Paweł Pasteczka},
journal= {arXiv preprint arXiv:2104.05546},
year = {2022}
}