Weighted fractional Euler-Maclaurin inequalities for convex and bounded variation functions via Riemann-Liouville integrals
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper develops weighted Euler-Maclaurin-type inequalities using Riemann-Liouville fractional integrals for classes of differentiable convex functions and functions of bounded variation. The work begins with a foundational integral equality that incorporates a positive weighting function, which serves as the basis for constructing these Euler-Maclaurin-type inequalities. Through this approach, we derive specific fractional inequalities for convex functions and extend them to functions of bounded variation, addressing key accuracy bounds and demonstrating flexibility across applications. Some remarks and particular cases are discussed to provide deeper observation, showcasing variations of the derived inequalities under particular function classes and conditions. This exploration offers a comprehensive view of the potential extensions of weighted fractional inequalities within the context of fractional calculus.
Açıklama
Anahtar Kelimeler
Euler-Maclaurin inequality, Riemann-Liouville integrals, Differentiable convex functions, Bounded variation
Kaynak
Journal of Inequalitiesand Applications
WoS Q Değeri
Q1
Scopus Q Değeri
N/A
Cilt
2025
Sayı
1
