Weighted Fractional Euler-Maclaurin-Type Inequalities by Various Function Classes
Küçük Resim Yok
Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we establish weighted Euler-Maclaurin-type inequalities for various classes of functions by employing Riemann-Liouville fractional integrals. To begin with, we derive a fundamental integral identity using a positive weight function, which serves as the basis for our main results. Utilizing this identity in combination with Riemann-Liouville fractional integrals, we present several weighted Euler-Maclaurin-type inequalities that are applicable to a broad range of function classes, including differentiable convex functions, bounded functions, Lipschitzian functions, and functions of bounded variation. These results offer a deeper understanding of Euler-Maclaurin-type inequalities and suggest potential avenues for future research. The findings presented herein extend and generalize previous results available in the literature.
Açıklama
Anahtar Kelimeler
Euler-Maclaurin-type inequalities, convex functions, bounded functions Lipschitzian functions, functions of bounded variation
Kaynak
Experimental Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
