Fractional Newton-type inequalities for twice differentiable functions via proportional Caputo-hybrid operator
Küçük Resim Yok
Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we first propose a novel integral identity for twice-differentiable convex mappings using the proportional Caputo-hybrid operator. Then, with the assistance of this identity, we derive various integral inequalities for the proportional Caputo-hybrid operator, which are connected to the Newton-type integral inequalities. Also, we establish a number of Newton-type inequalities for mappings of bounded variation. Finally, we note that the given results improve and generalize some of the previous findings on the subject of integral inequality. Our findings represent the pioneering work in this direction.
Açıklama
Anahtar Kelimeler
Newton-Type Inequalities, Convex Functions, Function Of Bounded Variation, Proportional Caputo-Hybrid Operator
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
39
Sayı
23
