On the interpolation in linear normed spaces using multiple nodes
In the papers [2], [3], [4], [6], [7] we indicated a method of extending the notion of interpolation polynomial for the case of a non-linear mapping \(f : X \to Y\) where \(X\) and \(Y\) are linear spaces with special structures. This extension o¤ers the possibility to establish, in this general and...
Uloženo v:
| Vydáno v: | Journal of numerical analysis and approximation theory Ročník 44; číslo 1 |
|---|---|
| Hlavní autor: | |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Publishing House of the Romanian Academy
18.12.2015
|
| Témata: | |
| ISSN: | 2457-6794, 2501-059X |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | In the papers [2], [3], [4], [6], [7] we indicated a method of extending the notion of interpolation polynomial for the case of a non-linear mapping \(f : X \to Y\) where \(X\) and \(Y\) are linear spaces with special structures. This extension o¤ers the possibility to establish, in this general and abstract case as well, the main properties known in the case of the interpolation of real fonctions. To switch to the case using multiple nodes, case that compulsorily uses the notion of Fréchet differential of the ?rst order as well as of superiour orders, we will point out the de?nition and certain properties of these differentials. On this basis we can present the manner of building an abstract interpolation polynomial with multiple nodes. |
|---|---|
| AbstractList | In the papers [2], [3], [4], [6], [7] we indicated a method of extending the notion of interpolation polynomial for the case of a non-linear mapping \(f : X \to Y\) where \(X\) and \(Y\) are linear spaces with special structures. This extension o¤ers the possibility to establish, in this general and abstract case as well, the main properties known in the case of the interpolation of real fonctions. To switch to the case using multiple nodes, case that compulsorily uses the notion of Fréchet differential of the ?rst order as well as of superiour orders, we will point out the de?nition and certain properties of these differentials. On this basis we can present the manner of building an abstract interpolation polynomial with multiple nodes. |
| Author | Adrian Diaconu |
| Author_xml | – sequence: 1 fullname: Adrian Diaconu organization: "Babeş-Bolyai" University, Cluj-Napoca, Romania |
| BookMark | eNotjMtOwzAURC0EEqV0y9o_ELh-Jl5WFY9KlboBiV10HV8XV6kTOemCv6cCVjNnjjR37DoPmRh7EPColHPq6ZgRZ61FJcDCFVtIA6IC4z6vL12burK107dsNU1HABC1VLoRC7beZz5_EU95pjIOPc5pyBfifcqEheehnCjwacSOJn6eUj7w07mf09jTRQaa7tlNxH6i1X8u2cfL8_vmrdrtX7eb9a7qpDBQmSaA8o4UuAASTKwRjYrgyUuFWukuRt1550ODEkXsvLW-UbUMXjbRRrVk27_fMOCxHUs6YfluB0zt7zCUQ4tlTl1PbU1EXkhpDRittXdAaIzuXNAWMDTqB6p9XDk |
| ContentType | Journal Article |
| DBID | DOA |
| DOI | 10.33993/jnaat441-1060 |
| DatabaseName | DOAJ Directory of Open Access Journals |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences |
| EISSN | 2501-059X |
| ExternalDocumentID | oai_doaj_org_article_7eeeb1226505444b90ea554c9d460ad8 |
| GroupedDBID | ALMA_UNASSIGNED_HOLDINGS GROUPED_DOAJ |
| ID | FETCH-LOGICAL-c2150-58d03b9e309d0205f7aa53f0beb23a434cff4cb9bd8a2a1fcb66b8372db28f6f3 |
| IEDL.DBID | DOA |
| ISSN | 2457-6794 |
| IngestDate | Fri Oct 03 12:46:04 EDT 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c2150-58d03b9e309d0205f7aa53f0beb23a434cff4cb9bd8a2a1fcb66b8372db28f6f3 |
| OpenAccessLink | https://doaj.org/article/7eeeb1226505444b90ea554c9d460ad8 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_7eeeb1226505444b90ea554c9d460ad8 |
| PublicationCentury | 2000 |
| PublicationDate | 2015-12-18 |
| PublicationDateYYYYMMDD | 2015-12-18 |
| PublicationDate_xml | – month: 12 year: 2015 text: 2015-12-18 day: 18 |
| PublicationDecade | 2010 |
| PublicationTitle | Journal of numerical analysis and approximation theory |
| PublicationYear | 2015 |
| Publisher | Publishing House of the Romanian Academy |
| Publisher_xml | – name: Publishing House of the Romanian Academy |
| SSID | ssj0001723481 |
| Score | 1.9326215 |
| Snippet | In the papers [2], [3], [4], [6], [7] we indicated a method of extending the notion of interpolation polynomial for the case of a non-linear mapping \(f : X... |
| SourceID | doaj |
| SourceType | Open Website |
| SubjectTerms | interpolation in linear normed spaces multiple nodes |
| Title | On the interpolation in linear normed spaces using multiple nodes |
| URI | https://doaj.org/article/7eeeb1226505444b90ea554c9d460ad8 |
| Volume | 44 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV27TsMwFLVQxcDCG_GWB1arTvweC6JiKgwgdYv8RGUIqC18f6_tIHVjYUziWJFvcs-50fG5CN1Z1XqlpSM8MEGy-x1xVDmSAI6EDACKIZVmE2o20_O5edlq9ZU1YdUeuC7cWMUI6QRIAkA159wZGi1AoDeBS2pD2eZLldkqpsrfFdXmHaa5sxwXikh466pjI8uAPP7orV0DEYAklL0pt9z6C6xMD9H-wAfxpD7HEdqJ_TE6GLghHr681QmaPPcYuBpe1L5YVcEGRzjTRLvEPXBPuAHyAwzHWc3-jn_FgnAxxNUpeps-vj48kaH9AfGAw5QIHShzJjJqApA6kZS1giXqoBhmljPuU-LeGRe0bW2TvJPSQb3ZBtfqJBM7Q6P-s4_nCBcTegWzNMZz1SYNJIYrC6NsbILjF-g-L0H3VR0uuuw5XU5AJLohEt1fkbj8j0mu0B5QEpEFI42-RqP18jveoF3_s16slrclyBubp6qT |
| linkProvider | Directory of Open Access Journals |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=On+the+interpolation+in+linear+normed+spaces+using+multiple+nodes&rft.jtitle=Journal+of+numerical+analysis+and+approximation+theory&rft.au=Adrian+Diaconu&rft.date=2015-12-18&rft.pub=Publishing+House+of+the+Romanian+Academy&rft.issn=2457-6794&rft.eissn=2501-059X&rft.volume=44&rft.issue=1&rft_id=info:doi/10.33993%2Fjnaat441-1060&rft.externalDBID=DOA&rft.externalDocID=oai_doaj_org_article_7eeeb1226505444b90ea554c9d460ad8 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2457-6794&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2457-6794&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2457-6794&client=summon |