On some investigations of alpha-conformable Ostrowski-Trapezoid-Gruss dynamic inequalities on time scales

被引：0
作者：
El-Deeb, Ahmed A. [1 ]
机构：
[1] Al Azhar Univ, Fac Sci, Dept Math, Nasr City 11884, Cairo, Egypt
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期
关键词：
Montgomery identity; Ostrowski-type inequality; Trapezoid-type inequality; Gruss-type inequality; Time scales; INTEGRAL INEQUALITY; FRACTIONAL CALCULUS; DERIVATIVES BELONG; MAPPINGS;
D O I：
10.1186/s13660-023-02994-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove new Ostrowski-type a-conformable dynamic inequalities and its companion inequalities on time scales by using the integration-by-parts formula on time scales associated with two parameters for functions with bounded second delta derivatives. When a = 1, we obtain some well-known time-scale inequalities due to Ostrowski. As particular cases, we obtain new continuous and discrete inequalities.
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页数：13
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