Inequalities of trapezoidal type involving generalized fractional integrals
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.author | Mohammed, Pshtiwan Othman | |
dc.contributor.author | Zeng, Shengda | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2022-05-27T10:39:50Z | |
dc.date.available | 2022-05-27T10:39:50Z | |
dc.date.issued | 2020 | |
dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | During the last years several fractional integrals were investigated. Having this idea in mind, in the present article, some new generalized fractional integral inequalities of the trapezoidal type for λφ–preinvex functions, which are differentiable and twice differentiable, are established. Then, by employing those results, we explore the new estimates on trapezoidal type inequalities for classical integral and Riemann–Liouville fractional integrals, respectively. Finally, we apply our new inequalities to construct inequalities involving moments of a continuous random variable. © 2020 Faculty of Engineering, Alexandria University | en_US |
dc.description.publishedMonth | 10 | |
dc.identifier.citation | Baleanu, Dumitru; Mohammed, Pshtiwan Othman; Zeng, Shengda (2020). "Inequalities of trapezoidal type involving generalized fractional integrals", Alexandria Engineering Journal, Vol. 59, No. 5, pp. 2975-2984. | en_US |
dc.identifier.doi | 10.1016/j.aej.2020.03.039 | |
dc.identifier.endpage | 2984 | en_US |
dc.identifier.issn | 1110-0168 | |
dc.identifier.issue | 5 | en_US |
dc.identifier.startpage | 2975 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/5581 | |
dc.identifier.volume | 59 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Alexandria Engineering Journal | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Generalized Fractional Integral | en_US |
dc.subject | Integral Inequalities | en_US |
dc.subject | Preinvex Function | en_US |
dc.title | Inequalities of trapezoidal type involving generalized fractional integrals | tr_TR |
dc.title | Inequalities of Trapezoidal Type Involving Generalized Fractional Integrals | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |