New discrete inequalities of Hermite–Hadamard type for convex functions
Abstract We introduce new time scales on Z $\mathbb{Z}$ . Based on this, we investigate the discrete inequality of Hermite–Hadamard type for discrete convex functions. Finally, we improve our result to investigate the discrete fractional inequality of Hermite–Hadamard type for the discrete convex fu...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-02-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03290-3 |
| _version_ | 1828965706401579008 |
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| author | Pshtiwan Othman Mohammed Thabet Abdeljawad Manar A. Alqudah Fahd Jarad |
| author_facet | Pshtiwan Othman Mohammed Thabet Abdeljawad Manar A. Alqudah Fahd Jarad |
| author_sort | Pshtiwan Othman Mohammed |
| collection | DOAJ |
| description | Abstract We introduce new time scales on Z $\mathbb{Z}$ . Based on this, we investigate the discrete inequality of Hermite–Hadamard type for discrete convex functions. Finally, we improve our result to investigate the discrete fractional inequality of Hermite–Hadamard type for the discrete convex functions involving the left nabla and right delta fractional sums. |
| first_indexed | 2024-12-14T11:16:36Z |
| format | Article |
| id | doaj.art-3431649df158431d93ca9bf349dcff19 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-14T11:16:36Z |
| publishDate | 2021-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-3431649df158431d93ca9bf349dcff192022-12-21T23:03:58ZengSpringerOpenAdvances in Difference Equations1687-18472021-02-012021111010.1186/s13662-021-03290-3New discrete inequalities of Hermite–Hadamard type for convex functionsPshtiwan Othman Mohammed0Thabet Abdeljawad1Manar A. Alqudah2Fahd Jarad3Department of Mathematics, College of Education, University of SulaimaniDepartment of Mathematics and General Sciences, Prince Sultan UniversityDepartment of Mathematical Sciences, Princess Nourah bint Abdulrahman UniversityDepartment of Mathematics, Cankaya UniversityAbstract We introduce new time scales on Z $\mathbb{Z}$ . Based on this, we investigate the discrete inequality of Hermite–Hadamard type for discrete convex functions. Finally, we improve our result to investigate the discrete fractional inequality of Hermite–Hadamard type for the discrete convex functions involving the left nabla and right delta fractional sums.https://doi.org/10.1186/s13662-021-03290-3Time scaleHermite–Hadamard inequalityConvex functions |
| spellingShingle | Pshtiwan Othman Mohammed Thabet Abdeljawad Manar A. Alqudah Fahd Jarad New discrete inequalities of Hermite–Hadamard type for convex functions Advances in Difference Equations Time scale Hermite–Hadamard inequality Convex functions |
| title | New discrete inequalities of Hermite–Hadamard type for convex functions |
| title_full | New discrete inequalities of Hermite–Hadamard type for convex functions |
| title_fullStr | New discrete inequalities of Hermite–Hadamard type for convex functions |
| title_full_unstemmed | New discrete inequalities of Hermite–Hadamard type for convex functions |
| title_short | New discrete inequalities of Hermite–Hadamard type for convex functions |
| title_sort | new discrete inequalities of hermite hadamard type for convex functions |
| topic | Time scale Hermite–Hadamard inequality Convex functions |
| url | https://doi.org/10.1186/s13662-021-03290-3 |
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