基于q微积分平均值不等式的Ostrowski型不等式研究  

A Study of Ostrowski Type Inequalities Based on Mean Value Inequality for q-Calculus

作　　者：时统业[1] 黄紫东 SHI Tong-ye;HUANG Zi-dong(PLA Naval Command College,Nanjing 211800,China;Aeronautics Engineering College,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：《五邑大学学报（自然科学版）》2024年第2期14-20,共7页Journal of Wuyi University(Natural Science Edition)

摘　　要：从q微积分平均不等式出发,建立了涉及q积分和qb积分的Ostrowski型不等式.作为特例,得到q积分和qb积分的Iyengar型不等式.Based on the mean value inequality for q-calculus,Ostrowski type inequalities involving q-integral and q^(b)-integral are established.As a special case,Iyengar type inequalities of q-integral and q^(b)-integral are obtained.

关 键 词：Ostrowski型不等式 q积分 qb积分 Iyengar型不等式 

分 类 号：O178[理学—数学]