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Hadamard and Fejer-Hadamard inequalities for generalized k-fractional integrals involving further extension of Mittag-Leffler function

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dc.contributor.author Yue, Ye
dc.contributor.author Farid, Ghulam
dc.contributor.author Demirel, Ayse Kubra
dc.contributor.author Nazeer, Waqas
dc.contributor.author Zhao, Yinghui
dc.date.accessioned 2024-03-26T06:55:20Z
dc.date.available 2024-03-26T06:55:20Z
dc.date.issued 2022
dc.identifier.citation Yue, Y., Farid, G., Demirel, AK., Nazeer, W., Zhao, YH. (2022). Hadamard and Fejer-Hadamard inequalities for generalized k-fractional integrals involving further extension of Mittag-Leffler function. AIMS Math., 7(1), 681-703. https://doi.org/10.3934/math.2022043 en_US
dc.identifier.issn 2473-6988
dc.identifier.uri http://dx.doi.org/10.3934/math.2022043
dc.identifier.uri https://www.webofscience.com/wos/woscc/full-record/WOS:000718878200035
dc.identifier.uri http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/5251
dc.description WoS Categories: Mathematics, Applied; Mathematics en_US
dc.description Web of Science Index: Science Citation Index Expanded (SCI-EXPANDED) en_US
dc.description Research Areas: Mathematics en_US
dc.description.abstract In this paper, k-fractional integral operators containing further extension of Mittag-Leffler function are defined firstly. Then, the first and second version of Hadamard and Fejer-Hadamard inequalities for generalized k-fractional integrals are obtained. Finally, by using these generalized k-fractional integrals containing Mittag-Leffler functions, results for p-convex functions are obtained. The results for convex functions can be deduced by taking p = 1. en_US
dc.language.iso eng en_US
dc.publisher AMER INST MATHEMATICAL SCIENCES-AIMS-SPRINGFIELD en_US
dc.relation.isversionof 10.3934/math.2022043 en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Hadamard inequality, Fejer-Hadamard inequality, convex function, p-convex function, k-fractional integrals, Mittag-Leffler function en_US
dc.title Hadamard and Fejer-Hadamard inequalities for generalized k-fractional integrals involving further extension of Mittag-Leffler function en_US
dc.type article en_US
dc.relation.journal AIMS MATHEMATICS en_US
dc.contributor.department Ordu Üniversitesi en_US
dc.contributor.authorID 0000-0002-4103-7745 en_US
dc.identifier.volume 7 en_US
dc.identifier.issue 1 en_US
dc.identifier.startpage 681 en_US
dc.identifier.endpage 703 en_US


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