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SOME BULLEN-TYPE INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS.

Authors :
ZHAO, DAFANG
ALI, MUHAMMAD AAMIR
BUDAK, HÜSEYIN
HE, ZAI-YIN
Source :
Fractals. 2023, Vol. 31 Issue 4, p1-11. 11p.
Publication Year :
2023

Abstract

In this paper, we establish some new Bullen-type inequalities for differentiable convex functions using the generalized fractional integrals. The main advantage of the inequalities and operators used to obtain them is that these inequalities can be turned into some existing inequalities for Riemann integrals and new inequalities for Riemann–Liouville fractional integral inequalities and k -fractional integrals. Finally, we add some applications of special means of real numbers using the newly established inequalities to make these results more interesting. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0218348X
Volume :
31
Issue :
4
Database :
Academic Search Index
Journal :
Fractals
Publication Type :
Academic Journal
Accession number :
164820590
Full Text :
https://doi.org/10.1142/S0218348X23400601