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.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/5462769 |
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| _version_ | 1832546976945668096 |
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| author | Chengli Wang Muhammad Shoaib Saleem Hamood Ur Rehman Muhammad Imran |
| author_facet | Chengli Wang Muhammad Shoaib Saleem Hamood Ur Rehman Muhammad Imran |
| author_sort | Chengli Wang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-db4b4b1424ad446ca1863230dc5260a2 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-db4b4b1424ad446ca1863230dc5260a22025-02-03T06:46:32ZengWileyJournal 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 |
| spellingShingle | Chengli Wang Muhammad Shoaib Saleem Hamood Ur Rehman Muhammad Imran Some Properties and Inequalities for the h,s-Nonconvex Functions Journal of Mathematics |
| title | 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_short | Some Properties and Inequalities for the h,s-Nonconvex Functions |
| title_sort | some properties and inequalities for the h s nonconvex functions |
| url | http://dx.doi.org/10.1155/2020/5462769 |
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