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

作　　者：时统业[1] 董芳芳[1] Shi Tongye;Dong Fangfang(PLA Naval Command College,Nanjing Jiangsu 211800,China)

机构地区：[1]海军指挥学院,江苏南京211800

出　　处：《衡阳师范学院学报》2024年第3期17-23,共7页Journal of Hengyang Normal University

摘　　要：利用积分恒等式和不等式|∫_(a)^(b)K(t)(f′(t)-c)dt|≤t∈(a,b)/sup|f′(t)-c|∫_(a)^(b)|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。Ostrowski type inequalities with parameters for differentiable functions with bounded first derivative are established by using integral identities and inequality,|∫_(a)^(b)K(t)(f′(t)-c)dt|≤t∈(a,b)/sup|f′(t)-c|∫_(a)^(b)|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 

分 类 号：O178[理学—数学]