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On some new generalized fractional inequalities for twice differentiable functions.
- 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