Lipschitz条件下高阶可微函数的Ostrowski型不等式  

Ostrowski Type Inequalities for Higher Order Differentiable Functions Satisfying Lipschitz Condition

作　　者：时统业[1] 黄紫东 SHI Tongye;HUANG Zidong(Naval Command College,Nanjing 211800,China;College of Aeronautics Engineering,Air Force Engineering University,Xi′an 710051,China)

机构地区：[1]海军指挥学院,江苏南京211800 [2]空军工程大学航空工程学院,陕西西安710051

出　　处：《河南财政金融学院学报（自然科学版）》2024年第2期1-6,共6页Journal of Henan Finance University(Natural Science Edition)

摘　　要：针对满足Lipschitz条件的高阶可微函数,通过建立积分恒等式,利用引入参数求最值的方法,建立了一类高阶可微函数的Ostrowski型不等式,加强了已有的Ostrowski型不等式。For higher order differentiable functions satisfying Lipschitz condition,a class of Ostrowski type inequalities is obtained by establishing integral identities and using the method of introducing parameters to find the optimal value,which strengthens the existing Ostrowski type inequalities.

关 键 词：OSTROWSKI不等式 Ostrowski型不等式 高阶可微函数 LIPSCHITZ条件 

分 类 号：O178[理学—数学]