<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

On a metric topology on the set of bivariate means

Department of Mathematics, Faculty of Science

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"On a metric topology on the set of bivariate means"}

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...

On a metric topology on the set of bivariate means

Published Online: Nov 18, 2022

Page range: 147 - 159

Received: Feb 16, 2021

DOI: https://doi.org/10.2478/ausm-2022-0010

Keywords
bivariate means, metric topology

© 2022 Mustapha Raïssouli et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On a metric topology on the set of bivariate means

Published Online: Nov 18, 2022

Page range: 147 - 159

Received: Feb 16, 2021

DOI: https://doi.org/10.2478/ausm-2022-0010

Keywordsbivariate means, metric topology

© 2022 Mustapha Raïssouli et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
bivariate means, metric topology