A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality
Anderson's inequality (Anderson, 1958) as well as its improved version given by Fink (2003) is known to provide interesting examples of integral inequalities. In this paper, we establish local fractional integral analogue of Anderson's inequality on fractal space under some suitable condit...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/797561 |
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| _version_ | 1832549249992097792 |
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| author | Wei Wei H. M. Srivastava Yunyi Zhang Lei Wang Peiyi Shen Jing Zhang |
| author_facet | Wei Wei H. M. Srivastava Yunyi Zhang Lei Wang Peiyi Shen Jing Zhang |
| author_sort | Wei Wei |
| collection | DOAJ |
| description | Anderson's inequality (Anderson, 1958) as well as its improved version given by Fink (2003) is known to provide interesting examples of integral inequalities. In this paper, we establish local fractional integral analogue of Anderson's inequality on fractal space under some suitable conditions. Moreover, we also show that the local fractional integral inequality on fractal space, which we have proved in this paper, is a new generalization of the classical Anderson's inequality. |
| format | Article |
| id | doaj-art-a3cc8519371c44ac94b2bd11d302d632 |
| 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-a3cc8519371c44ac94b2bd11d302d6322025-02-03T06:11:44ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/797561797561A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s InequalityWei Wei0H. M. Srivastava1Yunyi Zhang2Lei Wang3Peiyi Shen4Jing Zhang5School of Computer Science and Engineering, Xi’an University of Technology, Xi’an 710048, ChinaDepartment of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, CanadaCollege of Computer and Communication Engineering, Zhengzhou University of Light Industry, Dongfeng Road, Zhengzhou, Henan Province, ChinaSchool of Computer Science and Engineering, Xi’an University of Technology, Xi’an 710048, ChinaNational School of Software, Xidian University, Xi’an 710071, ChinaSchool of Computer Science and Engineering, Xi’an University of Technology, Xi’an 710048, ChinaAnderson's inequality (Anderson, 1958) as well as its improved version given by Fink (2003) is known to provide interesting examples of integral inequalities. In this paper, we establish local fractional integral analogue of Anderson's inequality on fractal space under some suitable conditions. Moreover, we also show that the local fractional integral inequality on fractal space, which we have proved in this paper, is a new generalization of the classical Anderson's inequality.http://dx.doi.org/10.1155/2014/797561 |
| spellingShingle | Wei Wei H. M. Srivastava Yunyi Zhang Lei Wang Peiyi Shen Jing Zhang A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality Abstract and Applied Analysis |
| title | A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality |
| title_full | A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality |
| title_fullStr | A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality |
| title_full_unstemmed | A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality |
| title_short | A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality |
| title_sort | local fractional integral inequality on fractal space analogous to anderson s inequality |
| url | http://dx.doi.org/10.1155/2014/797561 |
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