Ostrowski型不等式在量子积分中的推广  

Extension of Ostrowski Type Inequalities for Quantum Integrals

作　　者：时统业[1] SHI Tongye(PLA Naval Command College,Nanjing,China 211800)

机构地区：[1]海军指挥学院,江苏南京211800

出　　处：《温州大学学报(自然科学版)》2025年第1期1-9,共9页Journal of Wenzhou University(Natural Science Edition)

摘　　要：研究了量子积分的Ostrowski型不等式.首先建立同时含有q积分和q^(b)积分的积分恒等式,然后针对一阶q导数和一阶q^(b)导数都是有界的函数,利用这个恒等式,用引入参数求最值的方法,建立了量子积分的Ostrowski型不等式,该不等式是经典的Ostrowski不等式的推广和加强.Ostrowski type inequalities for quantum integrals are studied in the paper.Firstly,the integral identity involving both q-integral and q^(b)-integral is established.Then,for the functions whose first q-derivative and first q^(b)-derivative are bounded,Ostrowski type inequalities for quantum integrals are established by using the identity and the method of introducing parameters to find the optimal value,which extend and strengthen the classical Ostrowski inequality.

关 键 词：Ostrowski型不等式 q积分 q^(b)积分 q导数 q^(b)导数 

分 类 号：O178[理学—数学]