New types of general single/multiple integral inequalities
Abstract By introducing some concepts such as multiple integral inner product (MIIP) and multiple integral inner product space (MIIPS), new series of single/multiple integral inequalities are developed in a systematic way, which produce more accurate bounds on the cross terms from the direct Lyapuno...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-09-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-023-03026-9 |
| _version_ | 1797451147511857152 |
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| author | Liansheng Zhang Haosheng Meng |
| author_facet | Liansheng Zhang Haosheng Meng |
| author_sort | Liansheng Zhang |
| collection | DOAJ |
| description | Abstract By introducing some concepts such as multiple integral inner product (MIIP) and multiple integral inner product space (MIIPS), new series of single/multiple integral inequalities are developed in a systematic way, which produce more accurate bounds on the cross terms from the direct Lyapunov method than those in the literature. Some previous integral inequalities including both single and multiple integral inequalities can be regarded as special cases of the proposed inequalities. Accordingly, such integral inequalities are less conservative in comparison with the existing integral inequalities. |
| first_indexed | 2024-03-09T14:49:38Z |
| format | Article |
| id | doaj.art-b81f4daff09a4fe5ba404a7453451197 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-03-09T14:49:38Z |
| publishDate | 2023-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-b81f4daff09a4fe5ba404a74534511972023-11-26T14:32:50ZengSpringerOpenJournal of Inequalities and Applications1029-242X2023-09-012023111310.1186/s13660-023-03026-9New types of general single/multiple integral inequalitiesLiansheng Zhang0Haosheng Meng1Department of Mathematics and Physics, Beijing Institute of Petrochemical TechnologySchool of Information Engineering, Beijing Institute of Petrochemical TechnologyAbstract By introducing some concepts such as multiple integral inner product (MIIP) and multiple integral inner product space (MIIPS), new series of single/multiple integral inequalities are developed in a systematic way, which produce more accurate bounds on the cross terms from the direct Lyapunov method than those in the literature. Some previous integral inequalities including both single and multiple integral inequalities can be regarded as special cases of the proposed inequalities. Accordingly, such integral inequalities are less conservative in comparison with the existing integral inequalities.https://doi.org/10.1186/s13660-023-03026-9Integral inequalityIntegral inner product spaceTime-delay systemsStability analysis |
| spellingShingle | Liansheng Zhang Haosheng Meng New types of general single/multiple integral inequalities Journal of Inequalities and Applications Integral inequality Integral inner product space Time-delay systems Stability analysis |
| title | New types of general single/multiple integral inequalities |
| title_full | New types of general single/multiple integral inequalities |
| title_fullStr | New types of general single/multiple integral inequalities |
| title_full_unstemmed | New types of general single/multiple integral inequalities |
| title_short | New types of general single/multiple integral inequalities |
| title_sort | new types of general single multiple integral inequalities |
| topic | Integral inequality Integral inner product space Time-delay systems Stability analysis |
| url | https://doi.org/10.1186/s13660-023-03026-9 |
| work_keys_str_mv | AT lianshengzhang newtypesofgeneralsinglemultipleintegralinequalities AT haoshengmeng newtypesofgeneralsinglemultipleintegralinequalities |