On a metric topology on the set of bivariate means-Reference-Cited by-同舟云学术

On a metric topology on the set of bivariate means

Published:2022-11-01 Issue:1 Volume:14 Page:147-159
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Raïssouli Mustapha¹,Chergui Mohamed²

Affiliation:

1. Department of Mathematics, Faculty of Science , Moulay Ismail University , Meknes , Morocco .

2. Department of Mathematics , CRMEF Kénitra, EREAM Team, LaREAMI-Lab , Kénitra , Morocco .

Abstract

Abstract In this paper, we define a distance d on the set ℳ of bivariate means. We show that (ℳ, d) is a bounded complete metric space which is not compact. Other algebraic and topological properties of (ℳ, d) are investigated as well.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2022-0010

Reference9 articles.

1. [1] K. M. R. Audenaert, In-betweenness, a geometrical monotonicity property for operator means, Linear Algebra Appl, 16th ILAS Conference Proceedings, 438/4 (2013), 1769–1778.10.1016/j.laa.2011.02.051

2. [2] J. M. Borwein and P. B. Borwein, Pi and the AGM, A study in Analytic Number Theory and Computational Complexity, John Wiley and Sons Inc., New York, 1987.

3. [3] J. M. Borwein and P. B. Borwein, The way of all means, Amer. Math. Monthly, 94/6 (1987), 519–522.10.1080/00029890.1987.12000676

4. [4] P. S. Bullen, Handbook of Means and their Inequalities, Mathematics and its Applications, Springer, Second edition, 1987.

5. [5] A. L. Cauchy, Cours d’Analyse de l’Ecole Royale Polytechnique, 1ere Partie: Analyse Algébrique. Imprimerie Royale, Paris, 1821.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Coinciding Mean of the Two Symmetries on the Set of Mean Functions;Axioms;2023-02-25