(alpha,m1,m2)-convexity and some inequalities of Hermite-Hadamard type
| dc.contributor.author | Kadakal, Huriye | |
| dc.contributor.department | Other | tr_TR |
| dc.contributor.faculty | Other | tr_TR |
| dc.date.accessioned | 2021-11-09T07:40:14Z | |
| dc.date.available | 2021-11-09T07:40:14Z | |
| dc.date.issued | 2019-08-01 | |
| dc.description.abstract | In this paper, we introduce a new class of extended (alpha;m1;m2)-convex functions. Some algebraic properties of these class functions have been investigated. Some new Hermite-Hadamard type inequalities are derived. Results represent signicant refinement and improvement of the previous results. Also, the author establish a new integral identity and, by this identity, Hölder's and power mean inequality, discover some new Hermite-Hadamard type inequalities for functions whose first derivatives are (alpha;m1;m2)-convex. Our results are new and coincide with the previous results in special cases. | tr_TR |
| dc.description.index | Trdizin | tr_TR |
| dc.identifier.endpage | 2148 | tr_TR |
| dc.identifier.issn/e-issn | 2618-6470 | |
| dc.identifier.issue | 2 | tr_TR |
| dc.identifier.startpage | 2128 | tr_TR |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.511184 | tr_TR |
| dc.identifier.uri | http://hdl.handle.net/20.500.12575/75950 | |
| 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.511184 | 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 | Convex function | tr_TR |
| dc.subject | m-Convex function | tr_TR |
| dc.subject | (alpha;m)-Convex function | tr_TR |
| dc.title | (alpha,m1,m2)-convexity and some inequalities of Hermite-Hadamard type | tr_TR |
| dc.type | Article | tr_TR |