On an upper bound for Sherman’s inequality

Abstract Considering a weighted relation of majorization, Sherman obtained a useful generalization of the classical majorization inequality. The aim of this paper is to extend Sherman’s inequality to convex functions of higher order. An upper bound for Sherman’s inequality, as well as for generalize...

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Main Authors:	Slavica Ivelić Bradanović, Naveed Latif, Josip Pečarić
Format:	Article
Language:	English
Published:	SpringerOpen 2016-06-01
Series:	Journal of Inequalities and Applications
Subjects:	Sherman theorem Sherman inequality Jensen inequality Abel-Gontscharoff interpolating polynomial Ostrowski type inequality
Online Access:	http://link.springer.com/article/10.1186/s13660-016-1091-3

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spelling	doaj-3ee0c026ef3d4d64b4b9fa20acbceafa2020-11-24T21:17:50ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-06-012016111710.1186/s13660-016-1091-3On an upper bound for Sherman’s inequalitySlavica Ivelić Bradanović0Naveed Latif1Josip Pečarić2Faculty of Civil Engineering, Architecture And Geodesy, University of SplitDepartment of Mathematics, Govt. College UniversityFaculty of Textile Technology Zagreb, University of ZagrebAbstract Considering a weighted relation of majorization, Sherman obtained a useful generalization of the classical majorization inequality. The aim of this paper is to extend Sherman’s inequality to convex functions of higher order. An upper bound for Sherman’s inequality, as well as for generalized Sherman’s inequality, is given with some applications. As easy consequences, some new bounds for Jensen’s inequality can be derived.http://link.springer.com/article/10.1186/s13660-016-1091-3Sherman theoremSherman inequalityJensen inequalityAbel-Gontscharoff interpolating polynomialOstrowski type inequality
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Slavica Ivelić Bradanović Naveed Latif Josip Pečarić
spellingShingle	Slavica Ivelić Bradanović Naveed Latif Josip Pečarić On an upper bound for Sherman’s inequality Journal of Inequalities and Applications Sherman theorem Sherman inequality Jensen inequality Abel-Gontscharoff interpolating polynomial Ostrowski type inequality
author_facet	Slavica Ivelić Bradanović Naveed Latif Josip Pečarić
author_sort	Slavica Ivelić Bradanović
title	On an upper bound for Sherman’s inequality
title_short	On an upper bound for Sherman’s inequality
title_full	On an upper bound for Sherman’s inequality
title_fullStr	On an upper bound for Sherman’s inequality
title_full_unstemmed	On an upper bound for Sherman’s inequality
title_sort	on an upper bound for sherman’s inequality
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2016-06-01
description	Abstract Considering a weighted relation of majorization, Sherman obtained a useful generalization of the classical majorization inequality. The aim of this paper is to extend Sherman’s inequality to convex functions of higher order. An upper bound for Sherman’s inequality, as well as for generalized Sherman’s inequality, is given with some applications. As easy consequences, some new bounds for Jensen’s inequality can be derived.
topic	Sherman theorem Sherman inequality Jensen inequality Abel-Gontscharoff interpolating polynomial Ostrowski type inequality
url	http://link.springer.com/article/10.1186/s13660-016-1091-3
work_keys_str_mv	AT slavicaivelicbradanovic onanupperboundforshermansinequality AT naveedlatif onanupperboundforshermansinequality AT josippecaric onanupperboundforshermansinequality
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On an upper bound for Sherman’s inequality

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