Back to Search Start Over

On some new generalized fractional inequalities for twice differentiable functions.

Authors :
Budak, Hüseyin
Yavuz, Melike
Kara, Hasan
Source :
Arabian Journal of Mathematics; Dec2022, Vol. 11 Issue 3, p507-519, 13p
Publication Year :
2022

Abstract

In this paper, we establish an identity involving Sarikaya fractional integrals for twice differentiable functions. We obtain some new generalized fractional inequalities for the functions whose second derivatives in absolute value are convex by utilizing obtained equality. Utilizing the new inequalities obtained, some new inequalities for Riemann–Liouville fractional integrals and k-Riemann–Liouville fractional integrals are obtained. In addition, some of these results generalize ones obtained in earlier works. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
21935343
Volume :
11
Issue :
3
Database :
Complementary Index
Journal :
Arabian Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
159897386
Full Text :
https://doi.org/10.1007/s40065-022-00381-1