OPEN NEWTON-COTES INEQUALITIES FOR CONVEX FUNCTIONS IN FRACTIONAL CALCULUS
| dc.contributor.author | Sitthiwirattham, Thanin | |
| dc.contributor.author | Ali, Muhammad Aamir | |
| dc.contributor.author | Budak, Huseyin | |
| dc.contributor.author | Promsakon, Chanon | |
| dc.date.accessioned | 2025-10-11T20:48:01Z | |
| dc.date.available | 2025-10-11T20:48:01Z | |
| dc.date.issued | 2025 | |
| dc.department | Düzce Üniversitesi | en_US |
| dc.description.abstract | We establish error bounds for the open Newton-Cotes formula with n = 1 for differentiable convex functions in fractional calculus. We use for this purpose an integral identity, which we prove, having Riemann-Liouville fractional integral and ordinary derivative. We give applications for special means, and add an example to show the validity of inequalities with a graph for different values of fractional parameter alpha. | en_US |
| dc.description.sponsorship | National Science, Research and Innovation Fund (NSRF) | en_US |
| dc.description.sponsorship | King Mongkut's University of Technology North Bangkok [KMUTNB-FF-65-49] | en_US |
| dc.description.sponsorship | This research was funded by National Science, Research and Innovation Fund (NSRF) , and King Mongkut's University of Technology North Bangkok with Contract no. KMUTNB-FF-65-49. | en_US |
| dc.identifier.doi | 10.1216/rmj.2025.55.255 | |
| dc.identifier.endpage | 263 | en_US |
| dc.identifier.issn | 0035-7596 | |
| dc.identifier.issn | 1945-3795 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-105005882212 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.startpage | 255 | en_US |
| dc.identifier.uri | https://doi.org/10.1216/rmj.2025.55.255 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/21712 | |
| dc.identifier.volume | 55 | en_US |
| dc.identifier.wos | WOS:001501956700018 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Rocky Mt Math Consortium | en_US |
| dc.relation.ispartof | Rocky Mountain Journal of Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.snmz | KA_WOS_20250911 | |
| dc.subject | open Newton-Cotes formula | en_US |
| dc.subject | convex function | en_US |
| dc.title | OPEN NEWTON-COTES INEQUALITIES FOR CONVEX FUNCTIONS IN FRACTIONAL CALCULUS | en_US |
| dc.type | Article | en_US |












