On new general inequalities for s-convex functions and their applications
Abstract In this work, we established some new general integral inequalities of Hermite–Hadamard type for s-convex functions. To obtain these inequalities, we used the Hölder inequality, power-mean integral inequality, and some generalizations associated with these inequalities. Also we compared som...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-023-02914-4 |
| _version_ | 1797945701282349056 |
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| author | Çetin Yildiz Büşra Yergöz Abdulvahit Yergöz |
| author_facet | Çetin Yildiz Büşra Yergöz Abdulvahit Yergöz |
| author_sort | Çetin Yildiz |
| collection | DOAJ |
| description | Abstract In this work, we established some new general integral inequalities of Hermite–Hadamard type for s-convex functions. To obtain these inequalities, we used the Hölder inequality, power-mean integral inequality, and some generalizations associated with these inequalities. Also we compared some inequalities (e.g., Theorem 6 and Theorem 8). Finally, we gave some applications for special means. |
| first_indexed | 2024-04-10T20:59:16Z |
| format | Article |
| id | doaj.art-d3e14689206a48ee89cdc8710fe3a723 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-10T20:59:16Z |
| publishDate | 2023-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-d3e14689206a48ee89cdc8710fe3a7232023-01-22T12:28:23ZengSpringerOpenJournal of Inequalities and Applications1029-242X2023-01-012023111610.1186/s13660-023-02914-4On new general inequalities for s-convex functions and their applicationsÇetin Yildiz0Büşra Yergöz1Abdulvahit Yergöz2Department of Mathematics, K. K. Education Faculty, Atatürk UniversityDepartment of Mathematics, K. K. Education Faculty, Atatürk UniversityDepartment of Mathematics, K. K. Education Faculty, Atatürk UniversityAbstract In this work, we established some new general integral inequalities of Hermite–Hadamard type for s-convex functions. To obtain these inequalities, we used the Hölder inequality, power-mean integral inequality, and some generalizations associated with these inequalities. Also we compared some inequalities (e.g., Theorem 6 and Theorem 8). Finally, we gave some applications for special means.https://doi.org/10.1186/s13660-023-02914-4s-Convex functionHermite–Hadamard inequalityHölder inequalityPower-mean integral inequality |
| spellingShingle | Çetin Yildiz Büşra Yergöz Abdulvahit Yergöz On new general inequalities for s-convex functions and their applications Journal of Inequalities and Applications s-Convex function Hermite–Hadamard inequality Hölder inequality Power-mean integral inequality |
| title | On new general inequalities for s-convex functions and their applications |
| title_full | On new general inequalities for s-convex functions and their applications |
| title_fullStr | On new general inequalities for s-convex functions and their applications |
| title_full_unstemmed | On new general inequalities for s-convex functions and their applications |
| title_short | On new general inequalities for s-convex functions and their applications |
| title_sort | on new general inequalities for s convex functions and their applications |
| topic | s-Convex function Hermite–Hadamard inequality Hölder inequality Power-mean integral inequality |
| url | https://doi.org/10.1186/s13660-023-02914-4 |
| work_keys_str_mv | AT cetinyildiz onnewgeneralinequalitiesforsconvexfunctionsandtheirapplications AT busrayergoz onnewgeneralinequalitiesforsconvexfunctionsandtheirapplications AT abdulvahityergoz onnewgeneralinequalitiesforsconvexfunctionsandtheirapplications |