ON INEQUALITIES RELATED TO SOME QUASI-CONVEX FUNCTIONS

Estimations of errors in inequalities related to some quasi-convex functions in literature are simplified. Two new general inequalities for functions whose n-th derivatives for any positive integer n in absolute values are quasi-convex have been established. Some special cases are discussed with app...

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Main Author:	Z. Liu
Format:	Article
Language:	English
Published:	Petrozavodsk State University 2015-12-01
Series:	Проблемы анализа
Subjects:	: inequalities quasi-convex function Simpson type rule numerical integration special means
Online Access:	http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2869&lang=en

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spelling	doaj-545a748b0d6e439eb1595c2f23d981042021-07-02T11:24:15ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322015-12-014 (22)2456410.15393/j3.art.2015.2869ON INEQUALITIES RELATED TO SOME QUASI-CONVEX FUNCTIONSZ. Liu0University of Science and Technology, Liaoning Institute of Applied Mathematics, School of ScienceEstimations of errors in inequalities related to some quasi-convex functions in literature are simplified. Two new general inequalities for functions whose n-th derivatives for any positive integer n in absolute values are quasi-convex have been established. Some special cases are discussed with applications in numerical integration and special means.http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2869&lang=en: inequalitiesquasi-convex functionSimpson type rulenumerical integrationspecial means
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Z. Liu
spellingShingle	Z. Liu ON INEQUALITIES RELATED TO SOME QUASI-CONVEX FUNCTIONS Проблемы анализа : inequalities quasi-convex function Simpson type rule numerical integration special means
author_facet	Z. Liu
author_sort	Z. Liu
title	ON INEQUALITIES RELATED TO SOME QUASI-CONVEX FUNCTIONS
title_short	ON INEQUALITIES RELATED TO SOME QUASI-CONVEX FUNCTIONS
title_full	ON INEQUALITIES RELATED TO SOME QUASI-CONVEX FUNCTIONS
title_fullStr	ON INEQUALITIES RELATED TO SOME QUASI-CONVEX FUNCTIONS
title_full_unstemmed	ON INEQUALITIES RELATED TO SOME QUASI-CONVEX FUNCTIONS
title_sort	on inequalities related to some quasi-convex functions
publisher	Petrozavodsk State University
series	Проблемы анализа
issn	2306-3424 2306-3432
publishDate	2015-12-01
description	Estimations of errors in inequalities related to some quasi-convex functions in literature are simplified. Two new general inequalities for functions whose n-th derivatives for any positive integer n in absolute values are quasi-convex have been established. Some special cases are discussed with applications in numerical integration and special means.
topic	: inequalities quasi-convex function Simpson type rule numerical integration special means
url	http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2869&lang=en
work_keys_str_mv	AT zliu oninequalitiesrelatedtosomequasiconvexfunctions
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ON INEQUALITIES RELATED TO SOME QUASI-CONVEX FUNCTIONS

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