New approaches to corrected Euler-Maclaurin-type inequalities involving Riemann-Liouville fractional integrals for different function classes
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper investigates several Corrected Euler-Maclaurin-type inequalities for different function classes using Riemann-Liouville fractional integrals. The results, which are derived from special cases of theorems and illustrative examples, are subsequently presented. Furthermore, the authors have developed fractional Corrected Euler-Maclaurin-type inequalities for bounded functions. In addition, the research has acquired fractional Corrected Euler-Maclaurin-type inequalities for Lipschitzian functions. Finally, the study concludes with the derivation of fractional Corrected Euler-Maclaurin-type inequalities for functions of bounded variation.
Açıklama
Anahtar Kelimeler
Quadrature formulae, Maclaurin's formula, Corrected Euler-Maclaurin-type inequality, Convex functions, Fractional calculus
Kaynak
Boundary Value Problems
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
2025
Sayı
1
