Hermite–Hadamard’s trapezoid and mid-point type inequalities on a disk
Abstract Some trapezoid and mid-point type inequalities related to the Hermite–Hadamard inequality on the disk of center C=(a,b) $C=(a,b)$ and radius R, D(C,R)⊆R2 $D(C,R)\subseteq \mathbb{R}^{2}$, are investigated. It is shown that the estimated value obtained in the trapezoid and mid-point type ine...
| 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/s13660-019-2061-3 |
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| author | M. Rostamian Delavar S. S. Dragomir M. De La Sen |
| author_facet | M. Rostamian Delavar S. S. Dragomir M. De La Sen |
| author_sort | M. Rostamian Delavar |
| collection | DOAJ |
| description | Abstract Some trapezoid and mid-point type inequalities related to the Hermite–Hadamard inequality on the disk of center C=(a,b) $C=(a,b)$ and radius R, D(C,R)⊆R2 $D(C,R)\subseteq \mathbb{R}^{2}$, are investigated. It is shown that the estimated value obtained in the trapezoid and mid-point type inequalities has a relation with the integral of the partial derivative of the considered function on ∂(C,R) $\partial (C,R)$, the boundary of D(C,R) $D(C,R)$. |
| first_indexed | 2024-12-23T21:19:17Z |
| format | Article |
| id | doaj.art-f3059b8cd9ef4baaadd20afe2d978057 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-23T21:19:17Z |
| publishDate | 2019-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-f3059b8cd9ef4baaadd20afe2d9780572022-12-21T17:30:49ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-04-01201911810.1186/s13660-019-2061-3Hermite–Hadamard’s trapezoid and mid-point type inequalities on a diskM. Rostamian Delavar0S. S. Dragomir1M. De La Sen2Department of Mathematics, Faculty of Basic Sciences, University of BojnordMathematics, College of Engineering & Science, Victoria UniversityInstitute of Research and Development of Processes, University of Basque CountryAbstract Some trapezoid and mid-point type inequalities related to the Hermite–Hadamard inequality on the disk of center C=(a,b) $C=(a,b)$ and radius R, D(C,R)⊆R2 $D(C,R)\subseteq \mathbb{R}^{2}$, are investigated. It is shown that the estimated value obtained in the trapezoid and mid-point type inequalities has a relation with the integral of the partial derivative of the considered function on ∂(C,R) $\partial (C,R)$, the boundary of D(C,R) $D(C,R)$.http://link.springer.com/article/10.1186/s13660-019-2061-3Hermite–Hadamard inequalityConvex functions of double variableTrapezoid and mid-point type inequalities |
| spellingShingle | M. Rostamian Delavar S. S. Dragomir M. De La Sen Hermite–Hadamard’s trapezoid and mid-point type inequalities on a disk Journal of Inequalities and Applications Hermite–Hadamard inequality Convex functions of double variable Trapezoid and mid-point type inequalities |
| title | Hermite–Hadamard’s trapezoid and mid-point type inequalities on a disk |
| title_full | Hermite–Hadamard’s trapezoid and mid-point type inequalities on a disk |
| title_fullStr | Hermite–Hadamard’s trapezoid and mid-point type inequalities on a disk |
| title_full_unstemmed | Hermite–Hadamard’s trapezoid and mid-point type inequalities on a disk |
| title_short | Hermite–Hadamard’s trapezoid and mid-point type inequalities on a disk |
| title_sort | hermite hadamard s trapezoid and mid point type inequalities on a disk |
| topic | Hermite–Hadamard inequality Convex functions of double variable Trapezoid and mid-point type inequalities |
| url | http://link.springer.com/article/10.1186/s13660-019-2061-3 |
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