Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/26079Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Castro, L. P. | pt_PT |
| dc.contributor.author | Guerra, R. C. | pt_PT |
| dc.contributor.author | Tuan, N. M. | pt_PT |
| dc.date.accessioned | 2019-05-21T15:04:27Z | - |
| dc.date.issued | 2019 | - |
| dc.identifier.issn | 1331-4343 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10773/26079 | - |
| dc.description.abstract | We introduce eight new convolutions weighted by multi-dimensional Hermite functions, prove two Young-type inequalities, and exhibit their applications in different subjects. One application consists in the study of the solvability of a very general class of integral equations whose kernel depends on four different functions. Necessary and sufficient conditions for the unique solvability of such integral equations are here obtained. | pt_PT |
| dc.language.iso | eng | pt_PT |
| dc.publisher | Element D.O.O. | pt_PT |
| dc.relation | UID/MAT/04106/2019 | pt_PT |
| dc.relation | PD/BD/114187/2016 | pt_PT |
| dc.rights | openAccess | pt_PT |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | pt_PT |
| dc.subject | Convolution | pt_PT |
| dc.subject | Young’s inequality | pt_PT |
| dc.subject | integral equation | pt_PT |
| dc.subject | Hermite function | pt_PT |
| dc.subject | Normed ring | pt_PT |
| dc.subject | Wiener’s algebra | pt_PT |
| dc.title | New convolutions weighted by Hermite functions and their applications | pt_PT |
| dc.type | article | pt_PT |
| dc.description.version | published | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| degois.publication.firstPage | 719 | pt_PT |
| degois.publication.issue | 2 | pt_PT |
| degois.publication.lastPage | 745 | pt_PT |
| degois.publication.title | Mathematical Inequalities and Applications | pt_PT |
| degois.publication.volume | 22 | pt_PT |
| dc.date.embargo | 2020-04-01 | - |
| dc.relation.publisherversion | http://dx.doi.org/10.7153/mia-2019-22-49 | pt_PT |
| dc.identifier.doi | 10.7153/mia-2019-22-49 | pt_PT |
| dc.identifier.essn | 1848-9966 | pt_PT |
| Appears in Collections: | CIDMA - Artigos FAAG - Artigos | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2019_postprint_CaGuTu_MIA.pdf | 267.4 kB | Adobe PDF | View/Open |
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