Some Properties and Inequalities for the h,s-Nonconvex Functions

Some Properties and Inequalities for the h,s-Nonconvex Functions

The purpose of this paper is to introduce the notion of strongly h,s-nonconvex functions and to present some basic properties of this class of functions. We present Schur inequality, Jensen inequality, Hermite–Hadamard inequality, and weighted version of the Hermite–Hadamard inequality.

Bibliographic Details
Main Authors: Chengli Wang, Muhammad Shoaib Saleem, Hamood Ur Rehman, Muhammad Imran
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/5462769
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spelling doaj-db4b4b1424ad446ca1863230dc5260a22020-11-25T03:23:44ZengHindawi LimitedJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/54627695462769Some Properties and Inequalities for the h,s-Nonconvex FunctionsChengli Wang0Muhammad Shoaib Saleem1Hamood Ur Rehman2Muhammad Imran3School of Science, Xihua University, Chengdu 610039, ChinaDepartment of Mathematics, University of Okara, Okara, PakistanDepartment of Mathematics, University of Okara, Okara, PakistanDepartment of Mathematics, University of Okara, Okara, PakistanThe purpose of this paper is to introduce the notion of strongly h,s-nonconvex functions and to present some basic properties of this class of functions. We present Schur inequality, Jensen inequality, Hermite–Hadamard inequality, and weighted version of the Hermite–Hadamard inequality.http://dx.doi.org/10.1155/2020/5462769
collection DOAJ
language English
format Article
sources DOAJ
author Chengli Wang
Muhammad Shoaib Saleem
Hamood Ur Rehman
Muhammad Imran
spellingShingle Chengli Wang
Muhammad Shoaib Saleem
Hamood Ur Rehman
Muhammad Imran
Some Properties and Inequalities for the h,s-Nonconvex Functions
Journal of Mathematics
author_facet Chengli Wang
Muhammad Shoaib Saleem
Hamood Ur Rehman
Muhammad Imran
author_sort Chengli Wang
title Some Properties and Inequalities for the h,s-Nonconvex Functions
title_short Some Properties and Inequalities for the h,s-Nonconvex Functions
title_full Some Properties and Inequalities for the h,s-Nonconvex Functions
title_fullStr Some Properties and Inequalities for the h,s-Nonconvex Functions
title_full_unstemmed Some Properties and Inequalities for the h,s-Nonconvex Functions
title_sort some properties and inequalities for the h,s-nonconvex functions
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2020-01-01
description The purpose of this paper is to introduce the notion of strongly h,s-nonconvex functions and to present some basic properties of this class of functions. We present Schur inequality, Jensen inequality, Hermite–Hadamard inequality, and weighted version of the Hermite–Hadamard inequality.
url http://dx.doi.org/10.1155/2020/5462769
work_keys_str_mv AT chengliwang somepropertiesandinequalitiesforthehsnonconvexfunctions
AT muhammadshoaibsaleem somepropertiesandinequalitiesforthehsnonconvexfunctions
AT hamoodurrehman somepropertiesandinequalitiesforthehsnonconvexfunctions
AT muhammadimran somepropertiesandinequalitiesforthehsnonconvexfunctions
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