Exponential type convexity and some related inequalities
Abstract In this manuscript, we give and study the concept of exponential type convex functions and some of their algebraic properties. We prove two Hermite–Hadamard (H-H) type integral inequalities for the newly introduced class of functions. We also obtain some refinements of the H-H inequality fo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-03-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-020-02349-1 |
| _version_ | 1828156335118614528 |
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| author | Mahir Kadakal İmdat İşcan |
| author_facet | Mahir Kadakal İmdat İşcan |
| author_sort | Mahir Kadakal |
| collection | DOAJ |
| description | Abstract In this manuscript, we give and study the concept of exponential type convex functions and some of their algebraic properties. We prove two Hermite–Hadamard (H-H) type integral inequalities for the newly introduced class of functions. We also obtain some refinements of the H-H inequality for functions whose first derivative in absolute value at certain power is exponential type convex. |
| first_indexed | 2024-04-11T23:09:13Z |
| format | Article |
| id | doaj.art-dd36aee3260f404bae9cacb3d87e1299 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-11T23:09:13Z |
| publishDate | 2020-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-dd36aee3260f404bae9cacb3d87e12992022-12-22T03:57:54ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-03-01202011910.1186/s13660-020-02349-1Exponential type convexity and some related inequalitiesMahir Kadakal0İmdat İşcan1Department of Mathematics, Sciences and Arts Faculty, Giresun UniversityDepartment of Mathematics, Sciences and Arts Faculty, Giresun UniversityAbstract In this manuscript, we give and study the concept of exponential type convex functions and some of their algebraic properties. We prove two Hermite–Hadamard (H-H) type integral inequalities for the newly introduced class of functions. We also obtain some refinements of the H-H inequality for functions whose first derivative in absolute value at certain power is exponential type convex.http://link.springer.com/article/10.1186/s13660-020-02349-1Convex functionExponential type convexityHermite–Hadamard inequality |
| spellingShingle | Mahir Kadakal İmdat İşcan Exponential type convexity and some related inequalities Journal of Inequalities and Applications Convex function Exponential type convexity Hermite–Hadamard inequality |
| title | Exponential type convexity and some related inequalities |
| title_full | Exponential type convexity and some related inequalities |
| title_fullStr | Exponential type convexity and some related inequalities |
| title_full_unstemmed | Exponential type convexity and some related inequalities |
| title_short | Exponential type convexity and some related inequalities |
| title_sort | exponential type convexity and some related inequalities |
| topic | Convex function Exponential type convexity Hermite–Hadamard inequality |
| url | http://link.springer.com/article/10.1186/s13660-020-02349-1 |
| work_keys_str_mv | AT mahirkadakal exponentialtypeconvexityandsomerelatedinequalities AT imdatiscan exponentialtypeconvexityandsomerelatedinequalities |