HERMITE-HADAMARD’S INEQUALITIES FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE (s,m)-PREINVEX IN THE SECOND SENSE
Abstaract−In this paper, we introduce a new class of convex functions which is called (s, m)- preinvex functions in the second sense then we establish some new Hermite-Hadamard’s inequalities whose modulus of the first derivatives are in this novel class
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| Format: | Article |
| Language: | English |
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Naim Çağman
2016-03-01
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| Series: | Journal of New Theory |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/407542 |
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| author | Badreddine Meftah |
| author_facet | Badreddine Meftah |
| author_sort | Badreddine Meftah |
| collection | DOAJ |
| description | Abstaract−In this paper, we introduce a new class of convex functions which is called (s, m)- preinvex functions in the second sense then we establish some new Hermite-Hadamard’s inequalities whose modulus of the first derivatives are in this novel class |
| format | Article |
| id | doaj-art-2e4e8848e2864f6099b1776dfd9bb31c |
| institution | DOAJ |
| issn | 2149-1402 |
| language | English |
| publishDate | 2016-03-01 |
| publisher | Naim Çağman |
| record_format | Article |
| series | Journal of New Theory |
| spelling | doaj-art-2e4e8848e2864f6099b1776dfd9bb31c2025-08-20T02:45:07ZengNaim ÇağmanJournal of New Theory2149-14022016-03-011054652425HERMITE-HADAMARD’S INEQUALITIES FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE (s,m)-PREINVEX IN THE SECOND SENSEBadreddine MeftahAbstaract−In this paper, we introduce a new class of convex functions which is called (s, m)- preinvex functions in the second sense then we establish some new Hermite-Hadamard’s inequalities whose modulus of the first derivatives are in this novel classhttps://dergipark.org.tr/en/download/article-file/407542−hermite-hadamard inequalityhölder’s inequalitypower mean inequality |
| spellingShingle | Badreddine Meftah HERMITE-HADAMARD’S INEQUALITIES FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE (s,m)-PREINVEX IN THE SECOND SENSE Journal of New Theory −hermite-hadamard inequality hölder’s inequality power mean inequality |
| title | HERMITE-HADAMARD’S INEQUALITIES FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE (s,m)-PREINVEX IN THE SECOND SENSE |
| title_full | HERMITE-HADAMARD’S INEQUALITIES FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE (s,m)-PREINVEX IN THE SECOND SENSE |
| title_fullStr | HERMITE-HADAMARD’S INEQUALITIES FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE (s,m)-PREINVEX IN THE SECOND SENSE |
| title_full_unstemmed | HERMITE-HADAMARD’S INEQUALITIES FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE (s,m)-PREINVEX IN THE SECOND SENSE |
| title_short | HERMITE-HADAMARD’S INEQUALITIES FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE (s,m)-PREINVEX IN THE SECOND SENSE |
| title_sort | hermite hadamard s inequalities for functions whose first derivatives are s m preinvex in the second sense |
| topic | −hermite-hadamard inequality hölder’s inequality power mean inequality |
| url | https://dergipark.org.tr/en/download/article-file/407542 |
| work_keys_str_mv | AT badreddinemeftah hermitehadamardsinequalitiesforfunctionswhosefirstderivativesaresmpreinvexinthesecondsense |