Some Inequalities for Multiple Integrals on the n-Dimensional Ellipsoid, Spherical Shell, and Ball
The authors establish some new inequalities of Pólya type for multiple integrals on the n-dimensional ellipsoid, spherical shell, and ball, in terms of bounds of the higher order derivatives of the integrands. These results generalize the main result in the pape...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/904721 |
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| _version_ | 1832548760551424000 |
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| author | Yan Sun Hai-Tao Yang Feng Qi |
| author_facet | Yan Sun Hai-Tao Yang Feng Qi |
| author_sort | Yan Sun |
| collection | DOAJ |
| description | The authors establish some new inequalities of Pólya type for multiple integrals on the
n-dimensional ellipsoid, spherical shell, and ball, in terms of bounds of the
higher order derivatives of the integrands. These results generalize the main result in the paper by Feng Qi, Inequalities for a multiple integral, Acta Mathematica Hungarica (1999). |
| format | Article |
| id | doaj-art-51b44ff5449f4d908a612f533f0634e3 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-51b44ff5449f4d908a612f533f0634e32025-02-03T06:13:11ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/904721904721Some Inequalities for Multiple Integrals on the n-Dimensional Ellipsoid, Spherical Shell, and BallYan Sun0Hai-Tao Yang1Feng Qi2College of Mathematics, Inner Mongolia University for Nationalities, Inner Mongolia Autonomous Region, Tongliao City 028043, ChinaCollege of Mathematics, Inner Mongolia University for Nationalities, Inner Mongolia Autonomous Region, Tongliao City 028043, ChinaDepartment of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin City 300387, ChinaThe authors establish some new inequalities of Pólya type for multiple integrals on the n-dimensional ellipsoid, spherical shell, and ball, in terms of bounds of the higher order derivatives of the integrands. These results generalize the main result in the paper by Feng Qi, Inequalities for a multiple integral, Acta Mathematica Hungarica (1999).http://dx.doi.org/10.1155/2013/904721 |
| spellingShingle | Yan Sun Hai-Tao Yang Feng Qi Some Inequalities for Multiple Integrals on the n-Dimensional Ellipsoid, Spherical Shell, and Ball Abstract and Applied Analysis |
| title | Some Inequalities for Multiple Integrals on the
n-Dimensional Ellipsoid, Spherical Shell, and Ball |
| title_full | Some Inequalities for Multiple Integrals on the
n-Dimensional Ellipsoid, Spherical Shell, and Ball |
| title_fullStr | Some Inequalities for Multiple Integrals on the
n-Dimensional Ellipsoid, Spherical Shell, and Ball |
| title_full_unstemmed | Some Inequalities for Multiple Integrals on the
n-Dimensional Ellipsoid, Spherical Shell, and Ball |
| title_short | Some Inequalities for Multiple Integrals on the
n-Dimensional Ellipsoid, Spherical Shell, and Ball |
| title_sort | some inequalities for multiple integrals on the n dimensional ellipsoid spherical shell and ball |
| url | http://dx.doi.org/10.1155/2013/904721 |
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