On a new version of Hermite-Hadamard-type inequality based on proportional Caputo-hybrid operator
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In mathematics and the applied sciences, as a very useful tool, fractional calculus is a basic concept. Furthermore, in many areas of mathematics, it is better to use a new hybrid fractional operator, which combines the proportional and Caputo operators. So we concentrate on the proportional Caputo-hybrid operator because of its numerous applications. In this research, we introduce a novel extension of the Hermite-Hadamard-type inequalities for proportional Caputo-hybrid operator and establish an identity. Then, taking into account this novel generalized identity, we develop some integral inequalities associated with the left-side of Hermite-Hadamard-type inequalities for proportional Caputo-hybrid operator. Moreover, to illustrate the newly established inequalities, we give some examples with the help of graphs.
Açıklama
Anahtar Kelimeler
Hermite-Hadamard-type inequalities, Midpoint-type inequalities, Convex functions, Riemann-Liouville fractional integrals, Proportional Caputo-hybrid operator, Differentiable Mappings, Fractional Derivatives, Real Numbers
Kaynak
Boundary Value Problems
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
2024
Sayı
1
