一个二阶可微函数Iyengar型不等式的量子模拟  

Quantum Analogues of an Iyengar Type Inequality Involving Second Differentiable Function

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）》2024年第1期1-9,共9页Journal of Wenzhou University(Natural Science Edition)

摘　　要：针对二阶q导数和二阶q^(b)导数都有界的函数,从q积分、q^(b)积分的定义和Newton-Leibniz公式出发,建立了量子积分的Iyengar型不等式,并且说明了所得不等式在弱条件下也成立.所得结果是一个涉及二阶导数的Iyengar型不等式的量子模拟.Starting with the definitions and Newton-Leibniz formula of q-integral and q~b-integral,Iyengar type inequalities for the quantum integral are established for functions whose second q-derivatives and second q~b-derivatives are bounded.It is also shown that the inequalities obtained hold even under weak conditions.The results of this paper are quantum analogues of an Iyengar type inequality involving second derivatives.

关 键 词：Iyengar型不等式 q导数 q^(b)导数 q积分 q^(b)积分 可微函数 

分 类 号：O178[理学—数学]