Some novel fractional Milne-type inequalities for twice differentiable s-convex functions in the second sense

Küçük Resim Yok

Tarih

2025

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Univ Nis, Fac Sci Math

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, a special identity for twice differentiable functions, which is available in the literature, is utilized. By combining this identity with Riemann-Liouville fractional integrals, various fractional Milne-type inequalities are obtained for functions whose second derivatives in absolute value are s-convex in the second sense. Moreover, Holder and Young inequalities are used to prove the different and original results. These approaches contribute to the analysis of s-convex functions and offer new perspectives in the field of fractional analysis.

Açıklama

Anahtar Kelimeler

Holder inequality, Young inequality, s-convex functions, Milne type inequalities

Kaynak

Filomat

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

39

Sayı

10

Künye