一阶导数有界条件下带有参数的Ostrowski型不等式
Ostrowski Type Inequalities with Parameters under Bounded First-order Derivative Conditions
时统业 1董芳芳1
作者信息
- 1. 海军指挥学院,江苏 南京 211800
- 折叠
摘要
利用积分恒等式和不等式|∫baK(t)(f′(t)-c)dt|≤sup t∈(a,b)|f′(t)-c|∫ba|K(t)|dt以及引入参数求最值的方法,建立了具有有界一阶导数的可微函数的带有参数的Ostrowski型不等式,加强了已有的Ostrowski型不等式.
Abstract
Ostrowski type inequalities with parameters for differentiable functions with bounded first derivative are established by using integral identities and inequality,|∫baK(t)(f′(t)-c)dt|≤sup t∈(a,b)|f′(t)-c|∫ba|K(t)|dt and the method of introducing parameter to find the optimal value,which strengthens Ostrowski type inequalities given in the existing literatures.
关键词
Ostrowski不等式/Ostrowski型不等式/一阶可微函数Key words
Ostrowski inequality/Ostrowski type inequality/first-order differentiable function引用本文复制引用
出版年
2024
NETL
NSTL
万方数据