Some New Approaches to Fractional Euler-Maclaurin-Type Inequalities via Various Function Classes
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper aims to examine an approach that studies many Euler-Maclaurin-type inequalities for various function classes applying Riemann-Liouville fractional integrals. Afterwards, our results are provided by using special cases of obtained theorems and examples. Moreover, several Euler-Maclaurin-type inequalities are presented for bounded functions by fractional integrals. Some fractional Euler-Maclaurin-type inequalities are established for Lipschitzian functions. Finally, several Euler-Maclaurin-type inequalities are constructed by fractional integrals of bounded variation.
Açıklama
Anahtar Kelimeler
quadrature formulae, Maclaurin's formula, convex functions, fractional calculus
Kaynak
Fractal And Fractional
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
8
Sayı
7