Hermite-Hadamard Inequalities for a New Riemann-Liouville-Type Operator
Küçük Resim Yok
Tarih
2026
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We introduce a new class of fractional remainder operators, denoted by R alpha,n xi+ and R alpha,n eta-, which generalize and unify various classical integral identities. Using these operators, we formulate refined Hermite-Hadamard and trapezoidal inequalities for differentiable functions. The novelty of our approach lies in its symmetric kernel structure, which facilitates tighter error bounds. Numerical examples are given, including applications to non-differentiable convex functions, to demonstrate the applicability and limitations of the derived results.
Açıklama
Anahtar Kelimeler
[Keyword Not Available]
Kaynak
Fractal and Fractional
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
10
Sayı
3
