On results of midpoint-type inequalities for conformable fractional operators with twice-differentiable functions
| dc.authorwosid | BUDAK, Hüseyin/CAA-1604-2022 | en_US |
| dc.authorwosid | Hezenci, Fatih/KFB-5970-2024 | en_US |
| dc.contributor.author | Hezenci, Fatih | |
| dc.contributor.author | Budak, Hüseyin | |
| dc.date.accessioned | 2024-08-23T16:03:22Z | |
| dc.date.available | 2024-08-23T16:03:22Z | |
| dc.date.issued | 2023 | en_US |
| dc.department | Düzce Üniversitesi | en_US |
| dc.description.abstract | This article establishes an equality for the case of twice -differentiable convex functions with respect to the conformable fractional integrals. With the help of this identity, we prove sundry midpoint -type inequalities by twice-differentiable convex functions according to conformable fractional integrals. Several important inequalities are ob-tained by taking advantage of the convexity, the Hodlder inequality, and the power mean inequality. Using the specific selection of our results, we obtain several new and well-known results in the literature. | en_US |
| dc.identifier.doi | 10.5831/HMJ.2023.45.2.340 | |
| dc.identifier.endpage | 358 | en_US |
| dc.identifier.issn | 1225-293X | |
| dc.identifier.issn | 2288-6176 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.startpage | 340 | en_US |
| dc.identifier.uri | https://doi.org/10.5831/HMJ.2023.45.2.340 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/13701 | |
| dc.identifier.volume | 45 | en_US |
| dc.identifier.wos | WOS:001015925900011 | en_US |
| dc.identifier.wosquality | Q3 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Honam Mathematical Soc | en_US |
| dc.relation.ispartof | Honam Mathematical Journal | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | midpoint-type inequality | en_US |
| dc.subject | fractional conformable integrals | en_US |
| dc.subject | fractional conformable derivatives | en_US |
| dc.subject | fractional calculus | en_US |
| dc.subject | convex function | en_US |
| dc.subject | Hermite-Hadamard | en_US |
| dc.subject | Real Numbers | en_US |
| dc.subject | Integrals | en_US |
| dc.subject | Mappings | en_US |
| dc.title | On results of midpoint-type inequalities for conformable fractional operators with twice-differentiable functions | en_US |
| dc.type | Article | en_US |
