New estimates of Gauss-Jacobi and trapezium type inequalities for strongly (h(1), h(2))-preinvex mappings via general fractional integrals

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dc.contributor.authorKashuri, Artion
dc.contributor.authorLiko, Rozana
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2021-12-01T18:48:58Z
dc.date.available2021-12-01T18:48:58Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractIn this paper, authors discover two interesting identities regarding Gauss-Jacobi and trapezium type integral inequalities. By using the first lemma as an auxiliary result, some new bounds with respect to Gauss-Jacobi type integral inequalities for a new class of functions called strongly (h(1), h(2))-preinvex of order sigma> 0 with modulus mu > 0 via general fractional integrals are established. Also, using the second lemma, some new estimates with respect to trapezium type integral inequalities for strongly (h(1), h(2))-preinvex functions of order mu> 0 with modulus mu > 0 via general fractional integrals are obtained. It is pointed out that some new special cases can be deduced from main results. Some applications to special means for different real numbers and new approximation error estimates for the trapezoidal are provided as well. These results give us the generalizations of some previous known results. The ideas and techniques of this paper may stimulate further research in the fascinating field of inequalities.en_US
dc.identifier.doi10.22075/ijnaa.2020.19718.2096
dc.identifier.endpage996en_US
dc.identifier.issn2008-6822
dc.identifier.issue1en_US
dc.identifier.startpage979en_US
dc.identifier.urihttps://doi.org/10.22075/ijnaa.2020.19718.2096
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10639
dc.identifier.volume12en_US
dc.identifier.wosWOS:000692199700022en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherSemnan Univen_US
dc.relation.ispartofInternational Journal Of Nonlinear Analysis And Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectGauss-Jacobi type quadrature formulaen_US
dc.subjectHolder inequalityen_US
dc.subjectpower mean inequalityen_US
dc.subjectgeneral fractional integralsen_US
dc.subjectHadamard Type Inequalitiesen_US
dc.subjectSimpson Typeen_US
dc.subjectConvexen_US
dc.titleNew estimates of Gauss-Jacobi and trapezium type inequalities for strongly (h(1), h(2))-preinvex mappings via general fractional integralsen_US
dc.typeArticleen_US

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