A new approach to Simpson-type inequality with proportional Caputo-hybrid operator
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this article, we begin by deriving a new identity with the help of twice-differentiable convex functions for the proportional Caputo-hybrid operator. Then, using this newly uncovered identity, we obtain various integral inequalities associated with the Simpson's integral inequality for proportional Caputo-hybrid operator. Moreover, we indicate that the acquired results improve and refine certain existing discoveries in the realm of integral inequalities. Finally, for a better understanding of the newly obtained inequalities, we establish illustrative examples and visualize them through their corresponding graphs.
Açıklama
Anahtar Kelimeler
convex functions, proportional Caputo-hybrid operator, Simpson-type inequalities
Kaynak
Mathematical Methods in the Applied Sciences
WoS Q Değeri
N/A
Scopus Q Değeri
Q1