An extensive study on parameterized inequalities for conformable fractional integrals

Küçük Resim Yok

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer Basel Ag

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

This paper proves an equality for the case of differentiable convex functions including the conformable fractional integrals. By using this equality, we establish several parameterized inequalities with the help of the conformable fractional integrals. Several inequalities are obtained by taking advantage of the convexity, the Holder inequality, and the power mean inequality. Furthermore, we present previously achieved results and new results by using special cases of the obtained theorems.

Açıklama

Anahtar Kelimeler

Hermite-Hadamard inequalities, Simpson's inequality, Bullen's inequality, Fractional conformable integrals, Fractional calculus, Convex function, Hermite-Hadamard, Differentiable Mappings, Real Numbers

Kaynak

Analysis and Mathematical Physics

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

13

Sayı

5

Künye