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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Gurbuz, Mustafa | - |
dc.contributor.author | Set, Erhan | - |
dc.contributor.author | Tasdan, Yakup | - |
dc.date.accessioned | 2022-08-17T05:19:23Z | - |
dc.date.available | 2022-08-17T05:19:23Z | - |
dc.date.issued | 2020 | - |
dc.identifier.uri | http://doi.org/10.1186/s13660-020-02418-5 | - |
dc.identifier.uri | http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2236 | - |
dc.description.abstract | The primary objective of this study is to handle new generalized Hermite-Hadamard type inequalities with the help of the Katugampola fractional integral operator, which generalizes the Hadamard and Riemann-Liouville fractional integral operators into one system. In order to do this, a new fractional integral identity is obtained. Then, by using this identity, some inequalities for the class of functions whose derivatives in absolute values at certain powers are rho-convex are derived. It is observed that the obtained inequalities are generalizations of some results in the literature. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | SPRINGER, ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES | en_US |
dc.relation.isversionof | 10.1186/s13660-020-02418-5 | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Katugampola fractional integrals; Hadamard type inequalities; rho-convex functions | en_US |
dc.title | Some inequalities obtained by fractional integrals of positive real orders | en_US |
dc.type | article | en_US |
dc.relation.journal | JOURNAL OF INEQUALITIES AND APPLICATIONS | en_US |
dc.contributor.department | Ordu Üniversitesi | en_US |
dc.contributor.authorID | 0000-0002-7092-4298 | en_US |
dc.contributor.authorID | 0000-0003-1364-5396 | en_US |
dc.identifier.volume | 2020 | en_US |
dc.identifier.issue | 1 | en_US |
Appears in Collections: | Matematik |
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