The Hermite-Hadamard inequality for s-Convex functions in the third sense
In this paper, the Hermite-Hadamard inequality for s-convex functions in the third sense is provided. In addition, some integral inequalities for them are presented. Also, the new functions based on the integral and double integral of s-convex functions in the third sense are defined and under certa...
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021448?viewType=HTML |
| _version_ | 1819135964563374080 |
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| author | Sevda Sezer |
| author_facet | Sevda Sezer |
| author_sort | Sevda Sezer |
| collection | DOAJ |
| description | In this paper, the Hermite-Hadamard inequality for s-convex functions in the third sense is provided. In addition, some integral inequalities for them are presented. Also, the new functions based on the integral and double integral of s-convex functions in the third sense are defined and under certain conditions, the third sense s-convexity of these functions are shown and some inequality relations for these are expressed. |
| first_indexed | 2024-12-22T10:27:27Z |
| format | Article |
| id | doaj.art-74dea7bf83374317a42ae6969c057151 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-22T10:27:27Z |
| publishDate | 2021-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-74dea7bf83374317a42ae6969c0571512022-12-21T18:29:26ZengAIMS PressAIMS Mathematics2473-69882021-05-01677719773210.3934/math.2021448The Hermite-Hadamard inequality for s-Convex functions in the third senseSevda Sezer 0Department of Mathematics and Science Education, Faculty of Education, Akdeniz University, Antalya, TurkeyIn this paper, the Hermite-Hadamard inequality for s-convex functions in the third sense is provided. In addition, some integral inequalities for them are presented. Also, the new functions based on the integral and double integral of s-convex functions in the third sense are defined and under certain conditions, the third sense s-convexity of these functions are shown and some inequality relations for these are expressed.https://www.aimspress.com/article/doi/10.3934/math.2021448?viewType=HTMLhermite-hadamard inequalityconvex setconvex functions-convex function in the third sense |
| spellingShingle | Sevda Sezer The Hermite-Hadamard inequality for s-Convex functions in the third sense AIMS Mathematics hermite-hadamard inequality convex set convex function s-convex function in the third sense |
| title | The Hermite-Hadamard inequality for s-Convex functions in the third sense |
| title_full | The Hermite-Hadamard inequality for s-Convex functions in the third sense |
| title_fullStr | The Hermite-Hadamard inequality for s-Convex functions in the third sense |
| title_full_unstemmed | The Hermite-Hadamard inequality for s-Convex functions in the third sense |
| title_short | The Hermite-Hadamard inequality for s-Convex functions in the third sense |
| title_sort | hermite hadamard inequality for s convex functions in the third sense |
| topic | hermite-hadamard inequality convex set convex function s-convex function in the third sense |
| url | https://www.aimspress.com/article/doi/10.3934/math.2021448?viewType=HTML |
| work_keys_str_mv | AT sevdasezer thehermitehadamardinequalityforsconvexfunctionsinthethirdsense AT sevdasezer hermitehadamardinequalityforsconvexfunctionsinthethirdsense |