Generalized fractional midpoint type inequalities for co-ordinated convex functions

dc.authorscopusid55577228500
dc.authorscopusid57038541500
dc.authorscopusid57208224500
dc.authorscopusid35303422100
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorKara, Hasan
dc.contributor.authorSarıkaya, Mehmet Zeki
dc.date.accessioned2023-07-26T11:54:38Z
dc.date.available2023-07-26T11:54:38Z
dc.date.issued2023
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this research paper, we investigate generalized fractional integrals to obtain midpoint type inequalities for the co-ordinated convex functions. First of all, we establish an identity for twice partially differentiable mappings. By utilizing this equality, some midpoint type inequalities via generalized fractional integrals are proved. We also show that the main results reduce some midpoint inequalities given in earlier works for Riemann integrals and Riemann-Liouville fractional integrals. Finally, some new inequalities for k-Riemann-Liouville fractional integrals are presented as special cases of our results. © 2023, University of Nis. All rights reserved.en_US
dc.identifier.doi10.2298/FIL2313103H
dc.identifier.endpage4124en_US
dc.identifier.issn0354-5180
dc.identifier.issue13en_US
dc.identifier.scopus2-s2.0-85150444598en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage4103en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2313103H
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12885
dc.identifier.volume37en_US
dc.identifier.wosWOS:000953262000001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
dc.institutionauthorHezenci, Fatih
dc.institutionauthorKara, Hasan
dc.institutionauthorSarıkaya, Mehmet Zeki
dc.language.isoenen_US
dc.publisherUniversity of Nisen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectConvex functionen_US
dc.subjectFractional integralsen_US
dc.subjectSimpson type inequalitiesen_US
dc.subjectThird derivativeen_US
dc.titleGeneralized fractional midpoint type inequalities for co-ordinated convex functionsen_US
dc.typeArticleen_US

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
12885.pdf
Boyut:
242.43 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Tam Metin / Full Text