On Further Analogs of Hilbert's Inequality
By introducing the function |lnx−lny|/(x+y+|x−y|), we establish new inequalities similar to Hilbert's type inequality for integrals. As applications, we give its equivalent form as well.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/76329 |
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| _version_ | 1850224302051295232 |
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| author | Yongjin Li You Qian Bing He |
| author_facet | Yongjin Li You Qian Bing He |
| author_sort | Yongjin Li |
| collection | DOAJ |
| description | By introducing the function |lnx−lny|/(x+y+|x−y|), we establish new inequalities similar to Hilbert's type inequality for integrals. As applications, we give its equivalent form as well. |
| format | Article |
| id | doaj-art-4f8cccf63b0f41e1aada8346d70736ce |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4f8cccf63b0f41e1aada8346d70736ce2025-08-20T02:05:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/7632976329On Further Analogs of Hilbert's InequalityYongjin Li0You Qian1Bing He2Institute of Logic and Cognition, Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, ChinaDepartment of Mathematics, Sun Yat-Sen University, Guangzhou 510275, ChinaDepartment of Mathematics, Guangdong Education College, Guangzhou 510303, ChinaBy introducing the function |lnx−lny|/(x+y+|x−y|), we establish new inequalities similar to Hilbert's type inequality for integrals. As applications, we give its equivalent form as well.http://dx.doi.org/10.1155/2007/76329 |
| spellingShingle | Yongjin Li You Qian Bing He On Further Analogs of Hilbert's Inequality International Journal of Mathematics and Mathematical Sciences |
| title | On Further Analogs of Hilbert's Inequality |
| title_full | On Further Analogs of Hilbert's Inequality |
| title_fullStr | On Further Analogs of Hilbert's Inequality |
| title_full_unstemmed | On Further Analogs of Hilbert's Inequality |
| title_short | On Further Analogs of Hilbert's Inequality |
| title_sort | on further analogs of hilbert s inequality |
| url | http://dx.doi.org/10.1155/2007/76329 |
| work_keys_str_mv | AT yongjinli onfurtheranalogsofhilbertsinequality AT youqian onfurtheranalogsofhilbertsinequality AT binghe onfurtheranalogsofhilbertsinequality |