A NOTE ON SIMPSON 3/8 RULE FOR FUNCTION WHOSE MODULUS OF FIRST DERIVATIVES ARE s-CONVEX FUNCTION WITH APPLICATION
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Kangwon-Kyungki Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Researchers continue to explore and introduce new operators, methods, and applications related to fractional integrals and inequalities. In recent years, fractional integrals and inequalities have gained a lot of attention. In this paper, firstly we established the new identity for the case of differentiable function through the fractional operator (Caputo-Fabrizio). By utilizing this novel identity, the obtained results are improved for Simpson second formula-type inequality. Based on this identity the Simpson second formula-type inequality is proved for the s-convex functions. Furthermore, we also include the applications to special means.
Açıklama
Anahtar Kelimeler
Simpson 3/8 type inequalities, s-convex function, Fractional integrals, Holder's inequality, Power-mean inequality
Kaynak
Korean Journal of Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
32
Sayı
3
