On the Generalized Hermite-Hadamard Inequalities via the Tempered Fractional Integrals

Basit Öğe Kaydı
dc.authoridMohammed, Pshtiwan/0000-0001-6837-8075
dc.authoridSARIKAYA, Mehmet Zeki/0000-0002-6165-9242
dc.authorwosidMohammed, Pshtiwan/AAJ-4673-2020
dc.authorwosidSARIKAYA, Mehmet Zeki/ABI-5543-2020
dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorSarikaya, Mehmet Zeki
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2021-12-01T18:50:59Z
dc.date.available2021-12-01T18:50:59Z
dc.date.issued2020
dc.department[Belirlenecek]en_US
dc.description.abstractIntegral inequality plays a critical role in both theoretical and applied mathematics fields. It is clear that inequalities aim to develop different mathematical methods (numerically or analytically) and to dedicate the convergence and stability of the methods. Unfortunately, mathematical methods are useless if the method is not convergent or stable. Thus, there is a present day need for accurate inequalities in proving the existence and uniqueness of the mathematical methods. Convexity play a concrete role in the field of inequalities due to the behaviour of its definition. There is a strong relationship between convexity and symmetry. Which ever one we work on, we can apply to the other one due to the strong correlation produced between them especially in recent few years. In this article, we first introduced the notion of lambda-incomplete gamma function. Using the new notation, we established a few inequalities of the Hermite-Hadamard (HH) type involved the tempered fractional integrals for the convex functions which cover the previously published result such as Riemann integrals, Riemann-Liouville fractional integrals. Finally, three example are presented to demonstrate the application of our obtained inequalities on modified Bessel functions and q-digamma function.en_US
dc.identifier.doi10.3390/sym12040595
dc.identifier.issn2073-8994
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85084607428en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/sym12040595
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10953
dc.identifier.volume12en_US
dc.identifier.wosWOS:000540222200106en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofSymmetry-Baselen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectincomplete gamma functionsen_US
dc.subjectfractional integralsen_US
dc.subjectDifferentiable Mappingsen_US
dc.subjectConvex-Functionsen_US
dc.subjectReal Numbersen_US
dc.titleOn the Generalized Hermite-Hadamard Inequalities via the Tempered Fractional Integralsen_US
dc.typeArticleen_US

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
İsim:
10953.pdf
Boyut:
826.2 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Tam Metin / Full Text
İndir

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu