Results on comparison and sub/super-stabilizability of some new means

Autor:	Mihoković, Lenka, Raïssouli, Mustapha
Rok vydání:	2024
Předmět:	Mathematics - Classical Analysis and ODEs 26E60 41A60 39B62
Druh dokumentu:	Working Paper
Popis:	We present analysis of some new means recently introduced by M. Ra\"{i}ssouli and A. Rezgui. We establish comparison relations and results on $(K,N)$-sub/super-stabilizability where $K$ and $N$ belong to the class of power means, denoted by $B_p$, and $M$ is one of the classical or recently studied new means. Assuming that means $K$, $M$ and $N$ have asymptotic expansions, we present the complete asymptotic expansion of the resultant mean-map. As an application of the obtained asymptotic expansions and the asymptotic inequality between $M$ and $\mathcal{R}(B_p,M,B_q)$, we show how to find the optimal parameters $p$ and $q$ for which $M$ is $(B_p,B_q)$-sub/super-stabilizable. Comment: 19 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.13618 Zobrazit plný text záznamu View this record from Arxiv