New Inequalities of Bullen-type for Twice-Differentiable Functions via Conformable Fractional Integrals

被引:0
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作者
Fatih Hezenci [1 ]
Hüseyin Budak [1 ]
机构
[1] Duzce University,Department of Mathematics, Faculty of Science and Arts
关键词
Bullen-type inequalities; Convex functions; Riemann–Liouville fractional integrals; Conformable fractional integrals; 26D07; 26D10; 26A33;
D O I
10.1007/s40819-024-01804-7
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摘要
In this paper, an equality for the case of twice-differentiable convex functions is established by the conformable fractional integrals. In addition, sundry Bullen-type inequalities are acquired by conformable fractional integrals for the case of twice-differentiable functions. Moreover, several Bullen-type inequalities are obtained by taking advantage of the convexity, the Hölder inequality, and the power mean inequality. Finally, we derive our important results by using special cases of obtained theorems. In future studies, the ideas and strategies for our results related Bullen-type inequalities by conformable fractional integrals may open new ways for mathematicians in this area.
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