On error estimations of Simpson's second type quadrature formula
| dc.contributor.author | Erden, Samet | |
| dc.contributor.author | Iftikhar, Sabah | |
| dc.contributor.author | Kumam, Poom | |
| dc.contributor.author | Thounthong, Phatiphat | |
| dc.contributor.author | Erden, Samet | |
| dc.date.accessioned | 2025-10-18T13:22:28Z | |
| dc.date.created | 2020 | |
| dc.date.issued | 2020 | |
| dc.department | Fakülteler, Fen Fakültesi, Matematik Bölümü | |
| dc.description.abstract | In this paper, we derive some error estimates of Simpson's second type quadrature formula for functions of bounded variation and Lipschitzian mappings. Also, similar error estimations for absolutely continuous functions whose first derivatives belong to L-p[gamma,delta] with (p<1 <=infinity) are established. Finally, with the help of the results given in this work, some Simpson's type inequalities involving special means are presented. | |
| dc.description.sponsorship | Center of Excellence in Theoretical and Computational Science | |
| dc.description.sponsorship | Center of Excellence in Theoretical and Computational Science | |
| dc.identifier.doi | 10.1002/mma.7019 | |
| dc.identifier.endpage | 11244 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.issue | 13 | |
| dc.identifier.orcid | THOUNTHONG, Phatiphat/0000-0002-1453-4236 | |
| dc.identifier.orcid | Iftikhar, Sabah/0000-0002-4392-2123; | |
| dc.identifier.scopus | 2-s2.0-85096719757 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 11232 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.7019 | |
| dc.identifier.uri | https://hdl.handle.net/11772/22365 | |
| dc.identifier.volume | 47 | |
| dc.identifier.wos | WOS:000585243500001 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Wiley | |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | WoS_20251016 | |
| dc.subject | Absolutely Continuous Functions | |
| dc.subject | Functions Of Bounded Variation | |
| dc.subject | Newton's Inequality | |
| dc.subject | Special Means | |
| dc.title | On error estimations of Simpson's second type quadrature formula | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f8787a2a-dd28-4b2f-8716-492d9a0b4991 | |
| relation.isAuthorOfPublication.latestForDiscovery | f8787a2a-dd28-4b2f-8716-492d9a0b4991 |










