Bounds for the Error in Approximating a Fractional Integral by Simpson's Rule
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Simpson's rule is a numerical method used for approximating the definite integral of a function. In this paper, by utilizing mappings whose second derivatives are bounded, we acquire the upper and lower bounds for the Simpson-type inequalities by means of Riemann-Liouville fractional integral operators. We also study special cases of our main results. Furthermore, we give some examples with graphs to illustrate the main results. This study on fractional Simpson's inequalities is the first paper in the literature as a method.
Açıklama
Anahtar Kelimeler
Simpson-type inequality, integral inequalities, bounded functions, Inequalities, Convex
Kaynak
Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
11
Sayı
10
