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Some parameterized Simpson-, midpoint- and trapezoid-type inequalities for generalized fractional integrals.

Authors :
Budak, Hüseyin
Kılınç Yıldırım, Seda
Sarıkaya, Mehmet Zeki
Yıldırım, Hüseyin
Source :
Journal of Inequalities & Applications. 4/11/2022, Vol. 2022 Issue 1, p1-23. 23p.
Publication Year :
2022

Abstract

In this paper, we first obtain an identity for differentiable mappings. Then, we establish some new generalized inequalities for differentiable convex functions involving some parameters and generalized fractional integrals. We show that these results reduce to several new Simpson-, midpoint- and trapezoid-type inequalities. The results given in this study are the generalizations of results proved in several earlier papers. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10255834
Volume :
2022
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Inequalities & Applications
Publication Type :
Academic Journal
Accession number :
156245156
Full Text :
https://doi.org/10.1186/s13660-022-02773-5