摘要
利用只有第一类不连续点函数的介值定理和勒贝格积分理论,建立了至多有第一类不连续点函数的积分中值定理的推广形式,推广了徐永利的结论.
By using the intermediate value theorem for functions with discontinuity point of the first kind and the theory of Lebesgue integral,the generalized version of the mean value theorem of definite integral is established for functions at most with discontinuity point of the first kind,and the conclusions of Xu Yongli are generalized.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第8期183-185,共3页
Mathematics in Practice and Theory
关键词
第一类不连续点
积分中值定理
勒贝格积分
discontinuity point of the fist kind
mean value theorem of integral
lebesgue integral
