Some Riemann-Liouville fractional integral inequalities of corrected Euler-Maclaurin-type
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springernature
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this research article, an equality is established for Riemann-Liouville fractional integral. With the help of this equality, some corrected Euler-Maclaurin-type inequalities are established for the case of differentiable convex functions by using to the well-known Riemann-Liouville fractional integrals. Several important inequalities are obtained by taking advantage of the convexity, the Holder inequality, and the power mean inequality. Moreover, we give example using graph in order to show that our main results are correct. Furthermore, we provide our results by using special cases of obtained theorems.
Açıklama
Anahtar Kelimeler
Quadrature formulae, Corrected Maclaurin's formula, Convex functions, Fractional calculus
Kaynak
Journal of Analysis
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
32
Sayı
3
