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On generalized Milne type inequalities for new conformable fractional integrals

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dc.contributor.author Celika, Baris
dc.contributor.author Budakb, Huseyin
dc.contributor.author Seta, Erhan
dc.date.accessioned 2024-03-19T06:50:24Z
dc.date.available 2024-03-19T06:50:24Z
dc.date.issued 2024
dc.identifier.citation Çelika, B., Budakb, H., Seta, E. (2024). On generalized Milne type inequalities for new conformable fractional integrals. Filomat, 38(5), 1807-1823. https://doi.org/10.2298/FIL2405807C en_US
dc.identifier.issn 0354-5180
dc.identifier.uri http://dx.doi.org/10.2298/FIL2405807C
dc.identifier.uri https://www.webofscience.com/wos/woscc/full-record/WOS:001126593200001
dc.identifier.uri http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4727
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 study, we first obtained a new identity for differentiable convex functions with the help of new conformable fractional integrals. Then, using this identity, we proved new Milne-type inequalities for new conformable fractional integrals. In the proofs, we used convexity, Ho center dot lder's inequality and mean power inequality, respectively. In other chapters, we have presented new inequalities for bounded functions, Lipschitzian Functions and functions of bounded variation. The findings of this article are reduced to previously established results in specific cases. en_US
dc.description.sponsorship Ordu University Scientific Research Projects Coordination Unit (BAP) [B-2212] en_US
dc.language.iso eng en_US
dc.publisher UNIV NIS, FAC SCI MATH-NIS en_US
dc.relation.isversionof 10.2298/FIL2405807C en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Milne type inequalities, Convex function, Conformable fractional integrals, Bounded function, Function of bounded variation en_US
dc.subject SIMPSONS TYPE INEQUALITIES, CONVEX-FUNCTIONS en_US
dc.title On generalized Milne type inequalities for new conformable fractional integrals en_US
dc.type article en_US
dc.relation.journal FILOMAT en_US
dc.contributor.department Ordu Üniversitesi en_US
dc.identifier.volume 38 en_US
dc.identifier.issue 5 en_US
dc.identifier.startpage 1807 en_US
dc.identifier.endpage 1823 en_US


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