Convergence theorems for monotone measures

Li Jun; Mesiar Radko; Pap Endre; Klement Erich Peter

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Convergence theorems for monotone measures

机译：单调测度的收敛定理

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摘要

In classical measure theory there are a number of convergence theorems, such as the Egorov, the Riesz and the Lusin theorem, among others. We consider monotone measures (i.e., monotone set functions vanishing in the empty set and defined on a measurable space) and discuss, how and to which extent classical convergence theorems can be carried over to this more general case. (C) 2015 Elsevier B.V. All rights reserved.

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来源
《Fuzzy sets and systems》 |2015年第15期|103-127|共25页
作者
Li Jun; Mesiar Radko; Pap Endre; Klement Erich Peter;
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作者单位

Commun Univ China, Sch Sci, Beijing 100024, Peoples R China;

Slovak Univ Technol Bratislava, Fac Civil Engn, Bratislava 81368, Slovakia|Univ Ostrava, CZ-70103 Ostrava, Czech Republic;

Singidunum Univ, Belgrade 11000, Serbia|Obuda Univ, H-1034 Budapest, Hungary;

Johannes Kepler Univ Linz, A-4040 Linz, Austria|JKU Softwarepk Hagenberg, A-4232 Hagenberg, Austria;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Monotone measure; Monotone set function; Convergence theorems; Egorov theorem; Riesz theorem; Lusin theorem;

机译：单调测度;单调集函数;收敛定理;Egorov定理;Riesz定理;Lusin定理;

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Convergence theorems for monotone measures

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