On a New Hilbert-Hardy-Type Integral Operator and Applications
<p/> <p>By applying the way of weight functions and a Hardy's integral inequality, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is obtained. As applications, a new Hilbert-Hardy-type inequality similar to Hilbert-type integral inequality is given, and...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/812636 |
| _version_ | 1819017108489502720 |
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| author | Yang Bicheng Liu Xingdong |
| author_facet | Yang Bicheng Liu Xingdong |
| author_sort | Yang Bicheng |
| collection | DOAJ |
| description | <p/> <p>By applying the way of weight functions and a Hardy's integral inequality, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is obtained. As applications, a new Hilbert-Hardy-type inequality similar to Hilbert-type integral inequality is given, and two equivalent inequalities with the best constant factors as well as some particular examples are considered.</p> |
| first_indexed | 2024-12-21T02:58:17Z |
| format | Article |
| id | doaj.art-c1b38bf1b19146a38b58cedf06bb181a |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-21T02:58:17Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-c1b38bf1b19146a38b58cedf06bb181a2022-12-21T19:18:15ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101812636On a New Hilbert-Hardy-Type Integral Operator and ApplicationsYang BichengLiu Xingdong<p/> <p>By applying the way of weight functions and a Hardy's integral inequality, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is obtained. As applications, a new Hilbert-Hardy-type inequality similar to Hilbert-type integral inequality is given, and two equivalent inequalities with the best constant factors as well as some particular examples are considered.</p>http://www.journalofinequalitiesandapplications.com/content/2010/812636 |
| spellingShingle | Yang Bicheng Liu Xingdong On a New Hilbert-Hardy-Type Integral Operator and Applications Journal of Inequalities and Applications |
| title | On a New Hilbert-Hardy-Type Integral Operator and Applications |
| title_full | On a New Hilbert-Hardy-Type Integral Operator and Applications |
| title_fullStr | On a New Hilbert-Hardy-Type Integral Operator and Applications |
| title_full_unstemmed | On a New Hilbert-Hardy-Type Integral Operator and Applications |
| title_short | On a New Hilbert-Hardy-Type Integral Operator and Applications |
| title_sort | on a new hilbert hardy type integral operator and applications |
| url | http://www.journalofinequalitiesandapplications.com/content/2010/812636 |
| work_keys_str_mv | AT yangbicheng onanewhilberthardytypeintegraloperatorandapplications AT liuxingdong onanewhilberthardytypeintegraloperatorandapplications |