New Inequalities of Bullen-type for Twice-Differentiable Functions via Conformable Fractional Integrals

Küçük Resim Yok

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, an equality for the case of twice-differentiable convex functions is established by the conformable fractional integrals. In addition, sundry Bullen-type inequalities are acquired by conformable fractional integrals for the case of twice-differentiable functions. Moreover, several Bullen-type inequalities are obtained by taking advantage of the convexity, the Hölder inequality, and the power mean inequality. Finally, we derive our important results by using special cases of obtained theorems. In future studies, the ideas and strategies for our results related Bullen-type inequalities by conformable fractional integrals may open new ways for mathematicians in this area. © 2025 Elsevier B.V., All rights reserved.

Açıklama

Anahtar Kelimeler

26a33, 26d07, 26d10, Bullen-type Inequalities, Conformable Fractional Integrals, Convex Functions, Riemann–liouville Fractional Integrals

Kaynak

International Journal of Applied and Computational Mathematics

WoS Q Değeri

Scopus Q Değeri

Q2

Cilt

10

Sayı

6

Künye