HERMITE-HADAMARD TYPE INEQUALITIES FOR THE RIGHT RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS WITH VARIABLE ORDER
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Miskolc Inst Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we prove significant results related to the Hermite-Hadamard inequality for convex functions in the framework of Riemann-Liouville fractional integrals with variable order. Two novel equalities are proved to have new fractional trapezoid and midpoint-type inequalities for the differentiable convex functions. This work provides a computational analysis of these inequalities, with numerical examples for convex functions. Additionally, it is demonstrated that the newly identified inequalities represent a generalisation of the comparable inequalities in the literature.
Açıklama
Anahtar Kelimeler
Hermite-Hadamard Inequality, Riemann-Liouville Fractional Integral, Integral Inequalities
Kaynak
Miskolc Mathematical Notes
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
26
Sayı
2
