Some Properties of Generalized Strongly Harmonic Convex Functions
In this paper, we introduce a new class of harmonic convex functions with respect to an arbitrary trifunction F(·,·,·): K×K×[0,1]→R, which is called generalized strongly harmonic convex functions. We study some basic properties of strongly harmonic convex functions. We also discuss the sufficient co...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2018-05-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/1685 |
| _version_ | 1830344715436818432 |
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| author | Muhammad Aslam Noor Khalida Inayat Noor Sabah Iftikhar Farhat Safdar |
| author_facet | Muhammad Aslam Noor Khalida Inayat Noor Sabah Iftikhar Farhat Safdar |
| author_sort | Muhammad Aslam Noor |
| collection | DOAJ |
| description | In this paper, we introduce a new class of harmonic convex functions with respect to an arbitrary trifunction F(·,·,·): K×K×[0,1]→R, which is called generalized strongly harmonic convex functions. We study some basic properties of strongly harmonic convex functions. We also discuss the sufficient conditions of optimality for unconstrained and inequality constrained programming under the generalized harmonic convexity. Several special cases are discussed as applications of our results. Ideas and techniques of this paper may motivate further research in different fields. |
| first_indexed | 2024-12-19T22:31:01Z |
| format | Article |
| id | doaj.art-5c5017e1eb8341febfb93a9225b74bfe |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-19T22:31:01Z |
| publishDate | 2018-05-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-5c5017e1eb8341febfb93a9225b74bfe2022-12-21T20:03:20ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392018-05-01163427436313Some Properties of Generalized Strongly Harmonic Convex FunctionsMuhammad Aslam Noor0Khalida Inayat Noor1Sabah Iftikhar2Farhat SafdarCOMSATS Institute of Information Technology, IslamabadCOMSATS Institute of Information technologyCOMSATS Institute of Information TechnologyIn this paper, we introduce a new class of harmonic convex functions with respect to an arbitrary trifunction F(·,·,·): K×K×[0,1]→R, which is called generalized strongly harmonic convex functions. We study some basic properties of strongly harmonic convex functions. We also discuss the sufficient conditions of optimality for unconstrained and inequality constrained programming under the generalized harmonic convexity. Several special cases are discussed as applications of our results. Ideas and techniques of this paper may motivate further research in different fields.http://etamaths.com/index.php/ijaa/article/view/1685 |
| spellingShingle | Muhammad Aslam Noor Khalida Inayat Noor Sabah Iftikhar Farhat Safdar Some Properties of Generalized Strongly Harmonic Convex Functions International Journal of Analysis and Applications |
| title | Some Properties of Generalized Strongly Harmonic Convex Functions |
| title_full | Some Properties of Generalized Strongly Harmonic Convex Functions |
| title_fullStr | Some Properties of Generalized Strongly Harmonic Convex Functions |
| title_full_unstemmed | Some Properties of Generalized Strongly Harmonic Convex Functions |
| title_short | Some Properties of Generalized Strongly Harmonic Convex Functions |
| title_sort | some properties of generalized strongly harmonic convex functions |
| url | http://etamaths.com/index.php/ijaa/article/view/1685 |
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