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- Title
SOME BULLEN-TYPE INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS.
- Authors
ZHAO, DAFANG; ALI, MUHAMMAD AAMIR; BUDAK, HÜSEYIN; HE, ZAI-YIN
- 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.
- Subjects
GENERALIZED integrals; FRACTIONAL integrals; INTEGRAL inequalities; RIEMANN integral; CONVEX functions; FRACTIONAL calculus; REAL numbers
- Publication
Fractals, 2023, Vol 31, Issue 4, p1
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X23400601