Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications
Abstract In this paper, we introduce the notion of exponentially p-convex function and exponentially s-convex function in the second sense. We establish several Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in second sense. The present i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2047-1 |
| _version_ | 1818544599394680832 |
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| author | Naila Mehreen Matloob Anwar |
| author_facet | Naila Mehreen Matloob Anwar |
| author_sort | Naila Mehreen |
| collection | DOAJ |
| description | Abstract In this paper, we introduce the notion of exponentially p-convex function and exponentially s-convex function in the second sense. We establish several Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in second sense. The present investigation is an extension of several well known results. |
| first_indexed | 2024-12-11T22:50:36Z |
| format | Article |
| id | doaj.art-2da6cecd563c46c59628dcdeb8f757a2 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-11T22:50:36Z |
| publishDate | 2019-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-2da6cecd563c46c59628dcdeb8f757a22022-12-22T00:47:27ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-04-012019111710.1186/s13660-019-2047-1Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applicationsNaila Mehreen0Matloob Anwar1School of Natural Sciences, National University of Sciences and TechnologySchool of Natural Sciences, National University of Sciences and TechnologyAbstract In this paper, we introduce the notion of exponentially p-convex function and exponentially s-convex function in the second sense. We establish several Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in second sense. The present investigation is an extension of several well known results.http://link.springer.com/article/10.1186/s13660-019-2047-1Hermite–Hadamard inequalitiesConvex functionsExponentially convex functionsExponentially p-convex functionsExponentially s-convex functions in the second sense |
| spellingShingle | Naila Mehreen Matloob Anwar Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications Journal of Inequalities and Applications Hermite–Hadamard inequalities Convex functions Exponentially convex functions Exponentially p-convex functions Exponentially s-convex functions in the second sense |
| title | Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications |
| title_full | Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications |
| title_fullStr | Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications |
| title_full_unstemmed | Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications |
| title_short | Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications |
| title_sort | hermite hadamard type inequalities for exponentially p convex functions and exponentially s convex functions in the second sense with applications |
| topic | Hermite–Hadamard inequalities Convex functions Exponentially convex functions Exponentially p-convex functions Exponentially s-convex functions in the second sense |
| url | http://link.springer.com/article/10.1186/s13660-019-2047-1 |
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