A study on error bounds for Newton-type inequalities in conformable fractional integrals
| dc.authorid | UNAL, CIHAN/0000-0002-7242-393X | |
| dc.contributor.author | Budak, Huseyin | |
| dc.contributor.author | Unal, Cihan | |
| dc.contributor.author | Hezenci, Fatih | |
| dc.date.accessioned | 2025-03-23T19:30:14Z | |
| dc.date.available | 2025-03-23T19:30:14Z | |
| dc.date.issued | 2024 | |
| dc.department | Sinop Üniversitesi | |
| dc.description.abstract | The authors of the paper suggest a novel approach in order to examine an integral equality using conformable fractional operators. By using this identity, some Newton-type inequalities are proved for differentiable convex functions by taking the modulus of the newly established equality. Moreover, we prove some Newton-type inequalities by using the H & ouml;lder and power-mean inequality. Furthermore, some new results are presented by using special choices of obtained inequalities. Finally, we give some conformable fractional Newton-type inequalities for functions of bounded variation. | |
| dc.identifier.doi | 10.1515/ms-2024-0024 | |
| dc.identifier.endpage | 330 | |
| dc.identifier.issn | 0139-9918 | |
| dc.identifier.issn | 1337-2211 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-85194369529 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 313 | |
| dc.identifier.uri | https://doi.org/10.1515/ms-2024-0024 | |
| dc.identifier.uri | https://hdl.handle.net/11486/5051 | |
| dc.identifier.volume | 74 | |
| dc.identifier.wos | WOS:001230570300018 | |
| dc.identifier.wosquality | Q2 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Walter De Gruyter Gmbh | |
| dc.relation.ispartof | Mathematica Slovaca | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WOS_20250323 | |
| dc.subject | Newton formula | |
| dc.subject | fractional calculus | |
| dc.subject | conformable fractional integrals | |
| dc.title | A study on error bounds for Newton-type inequalities in conformable fractional integrals | |
| dc.type | Article |
