A study on conformable fractional version of Bullen-type inequalities

Authors

FATİH HEZENCİ
HÜSEYİN BUDAK
HASAN KARA

DOI

10.55730/1300-0098.3429

Abstract

In this paper, we give an equality for the case of differentiable convex functions involving conformable fractional integrals. Bullen-type inequalities for the conformable fractional integrals are established by using this equality. Some important inequalities are obtained by taking advantage of the convexity, the Hölder inequality and the power mean inequality. By using special choices, we present some known results in the literature. Furthermore, we give an example using a graph in order to show that our main results are correct.

Keywords

Bullen type inequality, fractional conformable integrals, fractional conformable derivatives, fractional calculus, convex function

First Page

1306

Last Page

1317

Recommended Citation

HEZENCİ, FATİH; BUDAK, HÜSEYİN; and KARA, HASAN (2023) "A study on conformable fractional version of Bullen-type inequalities," Turkish Journal of Mathematics: Vol. 47: No. 4, Article 19. https://doi.org/10.55730/1300-0098.3429
Available at: https://journals.tubitak.gov.tr/math/vol47/iss4/19