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可测函数的充要条件
引用本文:俞凡 金永镇. 可测函数的充要条件[J]. 辽宁师范大学学报(自然科学版), 1989, 0(2): 72-76
作者姓名:俞凡 金永镇
作者单位:辽宁师范大学数学系,辽宁师范大学数学系
摘    要:

关 键 词:可测函数 简单函数 可测性

Necessary and Sufficient Conditions of Measurable Functions
Yu Fan Jin Yongzhen. Necessary and Sufficient Conditions of Measurable Functions[J]. Journal of Liaoning Normal University(Natural Science Edition), 1989, 0(2): 72-76
Authors:Yu Fan Jin Yongzhen
Abstract:In this paper,six equivalent conditions of measurable functions are given from the following three aspects:She measurability of the set E(f>a),the approximalion of simple functions and the approximation of continuous functions. The structure of measurable functions is shown by these definitions.
Keywords:measurability  measurable functions  simple functions
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