On some dynamic inequalities of Ostrowski, trapezoid, and Gruss type on time scales

被引：5
作者：
El-Deeb, Ahmed A. [1 ]
机构：
[1] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2022年 / 2022卷 / 01期
关键词：
Montgomery identity; Ostrowski-type inequality; Trapezoid-type inequality; Gruss-type inequality; Time scales; INTEGRAL INEQUALITY; DERIVATIVES BELONG; MAPPINGS;
D O I：
10.1186/s13660-022-02825-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present manuscript, we prove some new extensions of the dynamic Ostrowski inequality and its companion inequalities on an arbitrary time scale by using two parameters for functions whose second delta derivatives are bounded. In addition to these generalizations, some integral and discrete inequalities are obtained as special cases of main results.
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页数：14
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