On Weighted Montgomery Identity for k Points and Its Associates on Time Scales
The purpose of this paper is to establish a weighted Montgomery identity for k points and then use this identity to prove a new weighted Ostrowski type inequality. Our results boil down to the results of Liu and Ngô if we take the weight function to be the identity map. In addition, we also generali...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2017/5234181 |
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| _version_ | 1850160584414199808 |
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| author | Eze R. Nwaeze Ana M. Tameru |
| author_facet | Eze R. Nwaeze Ana M. Tameru |
| author_sort | Eze R. Nwaeze |
| collection | DOAJ |
| description | The purpose of this paper is to establish a weighted Montgomery identity for k points and then use this identity to prove a new weighted Ostrowski type inequality. Our results boil down to the results of Liu and Ngô if we take the weight function to be the identity map. In addition, we also generalize an inequality of Ostrowski-Grüss type on time scales for k points. For k=2, we recapture a result of Tuna and Daghan. Finally, we apply our results to the continuous, discrete, and quantum calculus to obtain more results in this direction. |
| format | Article |
| id | doaj-art-a9503a6ab7d140e980e6e5c640e4f86d |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a9503a6ab7d140e980e6e5c640e4f86d2025-08-20T02:23:07ZengWileyAbstract and Applied Analysis1085-33751687-04092017-01-01201710.1155/2017/52341815234181On Weighted Montgomery Identity for k Points and Its Associates on Time ScalesEze R. Nwaeze0Ana M. Tameru1Department of Mathematics, Tuskegee University, Tuskegee, AL 36088, USADepartment of Mathematics, Tuskegee University, Tuskegee, AL 36088, USAThe purpose of this paper is to establish a weighted Montgomery identity for k points and then use this identity to prove a new weighted Ostrowski type inequality. Our results boil down to the results of Liu and Ngô if we take the weight function to be the identity map. In addition, we also generalize an inequality of Ostrowski-Grüss type on time scales for k points. For k=2, we recapture a result of Tuna and Daghan. Finally, we apply our results to the continuous, discrete, and quantum calculus to obtain more results in this direction.http://dx.doi.org/10.1155/2017/5234181 |
| spellingShingle | Eze R. Nwaeze Ana M. Tameru On Weighted Montgomery Identity for k Points and Its Associates on Time Scales Abstract and Applied Analysis |
| title | On Weighted Montgomery Identity for k Points and Its Associates on Time Scales |
| title_full | On Weighted Montgomery Identity for k Points and Its Associates on Time Scales |
| title_fullStr | On Weighted Montgomery Identity for k Points and Its Associates on Time Scales |
| title_full_unstemmed | On Weighted Montgomery Identity for k Points and Its Associates on Time Scales |
| title_short | On Weighted Montgomery Identity for k Points and Its Associates on Time Scales |
| title_sort | on weighted montgomery identity for k points and its associates on time scales |
| url | http://dx.doi.org/10.1155/2017/5234181 |
| work_keys_str_mv | AT ezernwaeze onweightedmontgomeryidentityforkpointsanditsassociatesontimescales AT anamtameru onweightedmontgomeryidentityforkpointsanditsassociatesontimescales |