Time Scale Inequalities of the Ostrowski Type for Functions Differentiable on the Coordinates
In 2016, some inequalities of the Ostrowski type for functions (of two variables) differentiable on the coordinates were established. In this paper, we extend these results to an arbitrary time scale by means of a parameter λ∈0,1. The aforementioned results are regained for the case when the time sc...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2018/1802578 |
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| author | Eze R. Nwaeze Seth Kermausuor Ana M. Tameru |
| author_facet | Eze R. Nwaeze Seth Kermausuor Ana M. Tameru |
| author_sort | Eze R. Nwaeze |
| collection | DOAJ |
| description | In 2016, some inequalities of the Ostrowski type for functions (of two variables) differentiable on the coordinates were established. In this paper, we extend these results to an arbitrary time scale by means of a parameter λ∈0,1. The aforementioned results are regained for the case when the time scale T=R. Besides extension, our results are employed to the continuous and discrete calculus to get some new inequalities in this direction. |
| format | Article |
| id | doaj-art-033c814845714b70a5721e0d1604c3d6 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-033c814845714b70a5721e0d1604c3d62025-02-03T06:08:02ZengWileyAbstract and Applied Analysis1085-33751687-04092018-01-01201810.1155/2018/18025781802578Time Scale Inequalities of the Ostrowski Type for Functions Differentiable on the CoordinatesEze R. Nwaeze0Seth Kermausuor1Ana M. Tameru2Department of Mathematics, Tuskegee University, Tuskegee, AL 36088, USADepartment of Mathematics and Computer Science, Alabama State University, Montgomery, AL 36104, USADepartment of Mathematics, Tuskegee University, Tuskegee, AL 36088, USAIn 2016, some inequalities of the Ostrowski type for functions (of two variables) differentiable on the coordinates were established. In this paper, we extend these results to an arbitrary time scale by means of a parameter λ∈0,1. The aforementioned results are regained for the case when the time scale T=R. Besides extension, our results are employed to the continuous and discrete calculus to get some new inequalities in this direction.http://dx.doi.org/10.1155/2018/1802578 |
| spellingShingle | Eze R. Nwaeze Seth Kermausuor Ana M. Tameru Time Scale Inequalities of the Ostrowski Type for Functions Differentiable on the Coordinates Abstract and Applied Analysis |
| title | Time Scale Inequalities of the Ostrowski Type for Functions Differentiable on the Coordinates |
| title_full | Time Scale Inequalities of the Ostrowski Type for Functions Differentiable on the Coordinates |
| title_fullStr | Time Scale Inequalities of the Ostrowski Type for Functions Differentiable on the Coordinates |
| title_full_unstemmed | Time Scale Inequalities of the Ostrowski Type for Functions Differentiable on the Coordinates |
| title_short | Time Scale Inequalities of the Ostrowski Type for Functions Differentiable on the Coordinates |
| title_sort | time scale inequalities of the ostrowski type for functions differentiable on the coordinates |
| url | http://dx.doi.org/10.1155/2018/1802578 |
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