Çankaya GCRIS Standart veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.
 

Hermite-Hadamard type inclusions via generalized Atangana-Baleanu fractional operator with application

dc.contributor.authorSahoo, Soubhagya Kumar
dc.contributor.authorJarad, Fahd
dc.contributor.authorKodamasingh, Bibhakar
dc.contributor.authorKashuri, Artion
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-03-12T13:24:59Z
dc.date.available2024-03-12T13:24:59Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractDefining new fractional operators and employing them to establish well-known integral inequalities has been the recent trend in the theory of mathematical inequalities. To take a step forward, we present novel versions of Hermite-Hadamard type inequalities for a new fractional operator, which generalizes some well-known fractional integral operators. Moreover, a midpoint type fractional integral identity is derived for differentiable mappings, whose absolute value of the first-order derivatives are convex functions. Moreover, considering this identity as an auxiliary result, several improved inequalities are derived using some fundamental inequalities such as Hölder-İşcan, Jensen and Young inequality. Also, if we take the parameter ρ = 1 in most of the results, we derive new results for Atangana-Baleanu equivalence. One example related to matrices is also given as an application.en_US
dc.identifier.citationSahoo, Soubhagya Kumar;...et.al. (2022). "Hermite-Hadamard type inclusions via generalized Atangana-Baleanu fractional operator with application", AIMS Mathematics, Vol.7, No.7, pp.12303-12321.en_US
dc.identifier.doi10.3934/math.2022683
dc.identifier.endpage12321en_US
dc.identifier.issn24736988
dc.identifier.issue7en_US
dc.identifier.startpage12303en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/7553
dc.identifier.volume7en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAtangana-Baleanu Fractional Integral Operatorsen_US
dc.subjectConvex Functionsen_US
dc.subjectHermite-Hadamard Inequalityen_US
dc.subjectJensen’s Inequalityen_US
dc.subjectYoung Inequalityen_US
dc.titleHermite-Hadamard type inclusions via generalized Atangana-Baleanu fractional operator with applicationtr_TR
dc.titleHermite-Hadamard Type Inclusions Via Generalized Atangana-Baleanu Fractional Operator With Applicationen_US
dc.typeArticleen_US
dspace.entity.typePublication

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Makale.pdf
Size:
111 KB
Format:
Adobe Portable Document Format
Description:
Yayıncı Sürümü

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: