Characterization of homogeneous symmetric monotone bivariate means

Abstract In this paper, we introduce a class of bivariate means generated by an integral of a continuous increasing function on ( 0 , + ∞ ) $(0,+\infty)$ . This class of means widens the spectrum of possible means and leads to many easy and interesting mean-inequalities. We show that this class of m...

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Main Authors:	Mustapha Raïssouli, Anis Rezgui
Format:	Article
Language:	English
Published:	SpringerOpen 2016-09-01
Series:	Journal of Inequalities and Applications
Subjects:	bivariate mean differential equation intrinsic function
Online Access:	http://link.springer.com/article/10.1186/s13660-016-1150-9

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spelling	doaj-eb653d5325b943608f94704a18a445fa2020-11-24T22:01:01ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-09-012016111910.1186/s13660-016-1150-9Characterization of homogeneous symmetric monotone bivariate meansMustapha Raïssouli0Anis Rezgui1Department of Mathematics, Science Faculty, Taibah UniversityDepartment of Mathematics, Science Faculty, Taibah UniversityAbstract In this paper, we introduce a class of bivariate means generated by an integral of a continuous increasing function on ( 0 , + ∞ ) $(0,+\infty)$ . This class of means widens the spectrum of possible means and leads to many easy and interesting mean-inequalities. We show that this class of means characterizes the large class of homogeneous symmetric monotone means.http://link.springer.com/article/10.1186/s13660-016-1150-9bivariate meandifferential equationintrinsic function
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mustapha Raïssouli Anis Rezgui
spellingShingle	Mustapha Raïssouli Anis Rezgui Characterization of homogeneous symmetric monotone bivariate means Journal of Inequalities and Applications bivariate mean differential equation intrinsic function
author_facet	Mustapha Raïssouli Anis Rezgui
author_sort	Mustapha Raïssouli
title	Characterization of homogeneous symmetric monotone bivariate means
title_short	Characterization of homogeneous symmetric monotone bivariate means
title_full	Characterization of homogeneous symmetric monotone bivariate means
title_fullStr	Characterization of homogeneous symmetric monotone bivariate means
title_full_unstemmed	Characterization of homogeneous symmetric monotone bivariate means
title_sort	characterization of homogeneous symmetric monotone bivariate means
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2016-09-01
description	Abstract In this paper, we introduce a class of bivariate means generated by an integral of a continuous increasing function on ( 0 , + ∞ ) $(0,+\infty)$ . This class of means widens the spectrum of possible means and leads to many easy and interesting mean-inequalities. We show that this class of means characterizes the large class of homogeneous symmetric monotone means.
topic	bivariate mean differential equation intrinsic function
url	http://link.springer.com/article/10.1186/s13660-016-1150-9
work_keys_str_mv	AT mustapharaissouli characterizationofhomogeneoussymmetricmonotonebivariatemeans AT anisrezgui characterizationofhomogeneoussymmetricmonotonebivariatemeans
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Characterization of homogeneous symmetric monotone bivariate means

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