Some new fractional corrected Euler-Maclaurin type inequalities for function whose second derivatives are s-convex function
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Inc
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Fractional integrals and inequalities have gained a lot of attention in recent years. By introducing innovative analytical approaches and applications, and by applying these approaches, numerous forms of inequalities have been examined. In this paper, we establish new identity for the twice differentiable function where the absolute value is convex. By utilizing this identity, numerous Corrected Euler-Maclaurin-type inequalities are developed for the Caputo-Fabrizio fractional integral operator. Based on this identity, the Corrected Euler-Maclaurin-type inequalities for $s$s-convex function are obtained. By employing well-known inequalities such as H & ouml;lder's and Power -Mean, we are introduced several new error bounds and estimates for Corrected Euler-Maclaurin-type inequalities. Additionally, special cases of the present results are applied to obtain the previous well-known results.
Açıklama
Anahtar Kelimeler
Euler-Maclaurin-type inequalities, fractional integrals, corrected Euler-Maclaurin-type inequalities, power-mean inequality, s-convex function
Kaynak
Mathematical And Computer Modelling of Dynamical Systems
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
30
Sayı
1
