On New Generalized Ostrowski Type Integral Inequalities
The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The aim of this paper is to establish some new inequalities similar to the Ostrowski's inequality. The current paper obtains bounds for the deviation of a function from a combination of integral mea...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/275806 |
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| _version_ | 1832556589026902016 |
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| author | A. Qayyum M. Shoaib A. E. Matouk M. A. Latif |
| author_facet | A. Qayyum M. Shoaib A. E. Matouk M. A. Latif |
| author_sort | A. Qayyum |
| collection | DOAJ |
| description | The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The aim of this paper is to establish some new inequalities similar to the Ostrowski's inequality. The current paper obtains bounds for the deviation of a function from a combination of integral means
over the end intervals covering the entire interval in terms of the norms of the second derivative of the function. Some new perturbed results are obtained. Application for cumulative distribution function is also discussed. |
| format | Article |
| id | doaj-art-0836c556ad3e4b3e993e40e6de0c1800 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0836c556ad3e4b3e993e40e6de0c18002025-02-03T05:44:52ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/275806275806On New Generalized Ostrowski Type Integral InequalitiesA. Qayyum0M. Shoaib1A. E. Matouk2M. A. Latif3Department of Fundamental and Applied Sciences, Universiti Teknologi Petronas, Bandar Seri Iskandar, 31750 Tronoh, Perak, MalaysiaDepartment of Mathematics, University of Ha’il, P.O. Box 2440, Ha’il 81451, Saudi ArabiaDepartment of Mathematics, University of Ha’il, P.O. Box 2440, Ha’il 81451, Saudi ArabiaSchool of Computational and Applied Mathematics, University of the Witwatersrand (Wits), Private Bag 3, Johannesburg 2050, South AfricaThe Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The aim of this paper is to establish some new inequalities similar to the Ostrowski's inequality. The current paper obtains bounds for the deviation of a function from a combination of integral means over the end intervals covering the entire interval in terms of the norms of the second derivative of the function. Some new perturbed results are obtained. Application for cumulative distribution function is also discussed.http://dx.doi.org/10.1155/2014/275806 |
| spellingShingle | A. Qayyum M. Shoaib A. E. Matouk M. A. Latif On New Generalized Ostrowski Type Integral Inequalities Abstract and Applied Analysis |
| title | On New Generalized Ostrowski Type Integral Inequalities |
| title_full | On New Generalized Ostrowski Type Integral Inequalities |
| title_fullStr | On New Generalized Ostrowski Type Integral Inequalities |
| title_full_unstemmed | On New Generalized Ostrowski Type Integral Inequalities |
| title_short | On New Generalized Ostrowski Type Integral Inequalities |
| title_sort | on new generalized ostrowski type integral inequalities |
| url | http://dx.doi.org/10.1155/2014/275806 |
| work_keys_str_mv | AT aqayyum onnewgeneralizedostrowskitypeintegralinequalities AT mshoaib onnewgeneralizedostrowskitypeintegralinequalities AT aematouk onnewgeneralizedostrowskitypeintegralinequalities AT malatif onnewgeneralizedostrowskitypeintegralinequalities |