摘要
用引入参数求最值的方法建立二阶导数有界情形下的不等式,然后通过取积分得到q积分、q^(b)积分、_(a)T_(q)积分、^(b)T_(q)积分的双边梯形不等式和Bullen型不等式.
Using the method of introducing parameter to find minimum value,an inequality for bounded second order derivatives was established,and then bilateral trapezoidal inequalities and Bullen type inequalities for q-integral,q^(b)-integral,_(a)T_(q)-integral,^(b)T_(q-)integral were obtained by taking integrals.
作者
时统业
曾志红
SHI Tongye;ZENG Zhihong(PLA Naval Command College,Nanjing 211800,China;Editorial Department of Journal,Guangdong University of Education,Guangzhou 510303,China)
出处
《湖南理工学院学报(自然科学版)》
2025年第4期1-7,共7页
Journal of Hunan Institute of Science and Technology(Natural Sciences)
关键词
梯形不等式
Bullen型不等式
量子积分
二阶可微函数
trapezoidal inequality
Bullen type inequality
quantum integral
second order differentiable function
