Some Caputo K-Fractional Derivatives of Ostrowski Type Concerning (n + 1)-Differentiable Generalized Relative Semi-(r; m; p; q; h1; h2)-Preinvex Mappings
| dc.contributor.author | KASHURİ, Artion | |
| dc.contributor.author | LİKO, Rozana | |
| dc.contributor.department | Other | tr_TR |
| dc.contributor.faculty | Other | tr_TR |
| dc.date.accessioned | 2021-11-03T08:14:27Z | |
| dc.date.available | 2021-11-03T08:14:27Z | |
| dc.date.issued | 2019-02-01 | |
| dc.description.abstract | In this article, we first presented some integral inequalities for Gauss-Jacobi type quadrature formula involving generalized relative semi-(r;m,p,q,h₁,h₂)-preinvex mappings. And then, a new identity concerning (n+1)-differentiable mappings defined on m-invex set via Caputo k-fractional derivatives is derived. By using the notion of generalized relative semi-(r;m,p,q,h₁,h₂)-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Ostrowski type inequalities via Caputo k-fractional derivatives are established. It is pointed out that some new special cases can be deduced from main results of the article. | tr_TR |
| dc.description.index | Trdizin | tr_TR |
| dc.identifier.endpage | 996 | tr_TR |
| dc.identifier.issn/e-issn | 2618-6470 | |
| dc.identifier.issue | 1 | tr_TR |
| dc.identifier.startpage | 973 | tr_TR |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.501430 | tr_TR |
| dc.identifier.uri | http://hdl.handle.net/20.500.12575/75856 | |
| dc.identifier.volume | 68 | tr_TR |
| dc.language.iso | en | tr_TR |
| dc.publisher | Ankara Üniversitesi Fen Fakültesi | tr_TR |
| dc.relation.isversionof | 10.31801/cfsuasmas.501430 | tr_TR |
| dc.relation.journal | Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics | tr_TR |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | tr_TR |
| dc.subject | Ostrowski type inequality | tr_TR |
| dc.subject | Hölder's inequality | tr_TR |
| dc.subject | Minkowski inequality | tr_TR |
| dc.title | Some Caputo K-Fractional Derivatives of Ostrowski Type Concerning (n + 1)-Differentiable Generalized Relative Semi-(r; m; p; q; h1; h2)-Preinvex Mappings | tr_TR |
| dc.type | Article | tr_TR |