Operator (p, η)-Convexity and Some Classical Inequalities
In this paper, we will introduce the definition of operator p,η-convex functions, we will derive some basic properties for operator p,η-convex function, and also check the conditions under which operations’ function preserves the operator p,η-convexity. Furthermore, we develop famous Hermite–Hadamar...
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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/10.1155/2020/1235842 |
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| _version_ | 1832550323952025600 |
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| author | Chuanjun Zhang Muhammad Shoaib Saleem Waqas Nazeer Naqash Shoukat Yongsheng Rao |
| author_facet | Chuanjun Zhang Muhammad Shoaib Saleem Waqas Nazeer Naqash Shoukat Yongsheng Rao |
| author_sort | Chuanjun Zhang |
| collection | DOAJ |
| description | In this paper, we will introduce the definition of operator p,η-convex functions, we will derive some basic properties for operator p,η-convex function, and also check the conditions under which operations’ function preserves the operator p,η-convexity. Furthermore, we develop famous Hermite–Hadamard, Jensen type, Schur type, and Fejér’s type inequalities for this generalized function. |
| format | Article |
| id | doaj-art-059e96b7654749aea51a0a44069ed933 |
| 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-059e96b7654749aea51a0a44069ed9332025-02-03T06:06:55ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/12358421235842Operator (p, η)-Convexity and Some Classical InequalitiesChuanjun Zhang0Muhammad Shoaib Saleem1Waqas Nazeer2Naqash Shoukat3Yongsheng Rao4School of Mathematics and Big Data, Guizhou Normal College, Guiyang 550018, ChinaDepartment of Mathematics, University of Okara, Okara, PakistanDepartment of Mathematics, Government College University, Lahore, PakistanDepartment of Mathematics, University of Okara, Okara, PakistanInstitute of Computing Science and Technology, Guangzhou University, 510006 Guangzhou, ChinaIn this paper, we will introduce the definition of operator p,η-convex functions, we will derive some basic properties for operator p,η-convex function, and also check the conditions under which operations’ function preserves the operator p,η-convexity. Furthermore, we develop famous Hermite–Hadamard, Jensen type, Schur type, and Fejér’s type inequalities for this generalized function.http://dx.doi.org/10.1155/2020/1235842 |
| spellingShingle | Chuanjun Zhang Muhammad Shoaib Saleem Waqas Nazeer Naqash Shoukat Yongsheng Rao Operator (p, η)-Convexity and Some Classical Inequalities Journal of Mathematics |
| title | Operator (p, η)-Convexity and Some Classical Inequalities |
| title_full | Operator (p, η)-Convexity and Some Classical Inequalities |
| title_fullStr | Operator (p, η)-Convexity and Some Classical Inequalities |
| title_full_unstemmed | Operator (p, η)-Convexity and Some Classical Inequalities |
| title_short | Operator (p, η)-Convexity and Some Classical Inequalities |
| title_sort | operator p η convexity and some classical inequalities |
| url | http://dx.doi.org/10.1155/2020/1235842 |
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