New error bounds for Newton's formula associated with tempered fractional integrals
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we first construct an integral identity associated with tempered fractional operators. By using this identity, we have found the error bounds for Simpson's second formula, namely Newton-Cotes quadrature formula for differentiable convex functions in the framework of tempered fractional integrals and classical calculus. Furthermore, it is also shown that the newly established inequalities are the extension of comparable inequalities inside the literature.
Açıklama
Anahtar Kelimeler
Newton-type inequalities, Quadrature formulae, Fractional integrals, Tempered fractional integrals
Kaynak
Boundary Value Problems
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
2024
Sayı
1
