Sub-super-stabilizability of certain bivariate means via mean-convexity

Abstract In this paper, we first show that the first Seiffert mean P is concave whereas the second Seiffert mean T and the Neuman-Sándor mean NS are convex. As applications, we establish the sub-stabilizability/super-stabilizability of certain bivariate means. Open problems are derived as well.

Bibliographic Details
Main Authors:	Mustapha Raïssouli, József Sándor
Format:	Article
Language:	English
Published:	SpringerOpen 2016-11-01
Series:	Journal of Inequalities and Applications
Subjects:	bivariate mean convexity of mean sub-stabilizable mean super-stabilizable mean mean-inequalities
Online Access:	http://link.springer.com/article/10.1186/s13660-016-1212-z

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spelling	doaj-227b9517c5564e4c9d733ae6006e2a6a2020-11-24T22:18:45ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-11-012016111310.1186/s13660-016-1212-zSub-super-stabilizability of certain bivariate means via mean-convexityMustapha Raïssouli0József Sándor1Science Faculty, Department of Mathematics, Taibah UniversityDepartment of Mathematics, Babes-Bolyai UniversityAbstract In this paper, we first show that the first Seiffert mean P is concave whereas the second Seiffert mean T and the Neuman-Sándor mean NS are convex. As applications, we establish the sub-stabilizability/super-stabilizability of certain bivariate means. Open problems are derived as well.http://link.springer.com/article/10.1186/s13660-016-1212-zbivariate meanconvexity of meansub-stabilizable meansuper-stabilizable meanmean-inequalities
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mustapha Raïssouli József Sándor
spellingShingle	Mustapha Raïssouli József Sándor Sub-super-stabilizability of certain bivariate means via mean-convexity Journal of Inequalities and Applications bivariate mean convexity of mean sub-stabilizable mean super-stabilizable mean mean-inequalities
author_facet	Mustapha Raïssouli József Sándor
author_sort	Mustapha Raïssouli
title	Sub-super-stabilizability of certain bivariate means via mean-convexity
title_short	Sub-super-stabilizability of certain bivariate means via mean-convexity
title_full	Sub-super-stabilizability of certain bivariate means via mean-convexity
title_fullStr	Sub-super-stabilizability of certain bivariate means via mean-convexity
title_full_unstemmed	Sub-super-stabilizability of certain bivariate means via mean-convexity
title_sort	sub-super-stabilizability of certain bivariate means via mean-convexity
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2016-11-01
description	Abstract In this paper, we first show that the first Seiffert mean P is concave whereas the second Seiffert mean T and the Neuman-Sándor mean NS are convex. As applications, we establish the sub-stabilizability/super-stabilizability of certain bivariate means. Open problems are derived as well.
topic	bivariate mean convexity of mean sub-stabilizable mean super-stabilizable mean mean-inequalities
url	http://link.springer.com/article/10.1186/s13660-016-1212-z
work_keys_str_mv	AT mustapharaissouli subsuperstabilizabilityofcertainbivariatemeansviameanconvexity AT jozsefsandor subsuperstabilizabilityofcertainbivariatemeansviameanconvexity
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Sub-super-stabilizability of certain bivariate means via mean-convexity

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