On generalized Milne type inequalities for new conformable fractional integrals

Küçük Resim Yok

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Univ Nis, Fac Sci Math

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this study, we first obtained a new identity for differentiable convex functions with the help of new conformable fractional integrals. Then, using this identity, we proved new Milne-type inequalities for new conformable fractional integrals. In the proofs, we used convexity, Ho center dot lder's inequality and mean power inequality, respectively. In other chapters, we have presented new inequalities for bounded functions, Lipschitzian Functions and functions of bounded variation. The findings of this article are reduced to previously established results in specific cases.

Açıklama

Anahtar Kelimeler

Milne type inequalities, Convex function, Conformable fractional integrals, Bounded function, Function of bounded variation, Simpsons Type Inequalities, Convex-Functions

Kaynak

Filomat

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

38

Sayı

5

Künye