On a New Extension of Mulholland’s Inequality in the Whole Plane
A new, more accurate extension of Mulholland’s inequality in the whole plane with a best possible constant factor is presented by introducing independent parameters, applying weight coefficients and using Hermite-Hadamard’s inequality. Moreover, the equivalent forms, some particular cases, and the o...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/9569380 |
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| _version_ | 1832548927105138688 |
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| author | Bicheng Yang Yanru Zhong Qiang Chen |
| author_facet | Bicheng Yang Yanru Zhong Qiang Chen |
| author_sort | Bicheng Yang |
| collection | DOAJ |
| description | A new, more accurate extension of Mulholland’s inequality in the whole plane with a best possible constant factor is presented by introducing independent parameters, applying weight coefficients and using Hermite-Hadamard’s inequality. Moreover, the equivalent forms, some particular cases, and the operator expressions are considered. |
| format | Article |
| id | doaj-art-ed0ed83d3b81434e8d7dac6b5ad4a104 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ed0ed83d3b81434e8d7dac6b5ad4a1042025-02-03T06:12:44ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/95693809569380On a New Extension of Mulholland’s Inequality in the Whole PlaneBicheng Yang0Yanru Zhong1Qiang Chen2Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 51003, ChinaGuangxi Colleges and Universities Key Laboratory of Intelligent Processing of Computer Image and Graphics, Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaDepartment of Computer Science, Guangdong University of Education, Guangzhou, Guangdong 51003, ChinaA new, more accurate extension of Mulholland’s inequality in the whole plane with a best possible constant factor is presented by introducing independent parameters, applying weight coefficients and using Hermite-Hadamard’s inequality. Moreover, the equivalent forms, some particular cases, and the operator expressions are considered.http://dx.doi.org/10.1155/2018/9569380 |
| spellingShingle | Bicheng Yang Yanru Zhong Qiang Chen On a New Extension of Mulholland’s Inequality in the Whole Plane Journal of Function Spaces |
| title | On a New Extension of Mulholland’s Inequality in the Whole Plane |
| title_full | On a New Extension of Mulholland’s Inequality in the Whole Plane |
| title_fullStr | On a New Extension of Mulholland’s Inequality in the Whole Plane |
| title_full_unstemmed | On a New Extension of Mulholland’s Inequality in the Whole Plane |
| title_short | On a New Extension of Mulholland’s Inequality in the Whole Plane |
| title_sort | on a new extension of mulholland s inequality in the whole plane |
| url | http://dx.doi.org/10.1155/2018/9569380 |
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