A further investigation for Egoroff's theorem with respect to monotone set functions

Jun Li

Kybernetika (2003)

  • Volume: 39, Issue: 6, page [753]-760
  • ISSN: 0023-5954

Abstract

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In this paper, we investigate Egoroff’s theorem with respect to monotone set function, and show that a necessary and sufficient condition that Egoroff’s theorem remain valid for monotone set function is that the monotone set function fulfill condition (E). Therefore Egoroff’s theorem for non-additive measure is formulated in full generality.

How to cite

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Li, Jun. "A further investigation for Egoroff's theorem with respect to monotone set functions." Kybernetika 39.6 (2003): [753]-760. <http://eudml.org/doc/33679>.

@article{Li2003,
abstract = {In this paper, we investigate Egoroff’s theorem with respect to monotone set function, and show that a necessary and sufficient condition that Egoroff’s theorem remain valid for monotone set function is that the monotone set function fulfill condition (E). Therefore Egoroff’s theorem for non-additive measure is formulated in full generality.},
author = {Li, Jun},
journal = {Kybernetika},
keywords = {non-additive measure; monotone set function; condition (E); Egoroff's theorem; non-additive measure; monotone set function; condition (E); Egoroff's theorem},
language = {eng},
number = {6},
pages = {[753]-760},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A further investigation for Egoroff's theorem with respect to monotone set functions},
url = {http://eudml.org/doc/33679},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Li, Jun
TI - A further investigation for Egoroff's theorem with respect to monotone set functions
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 6
SP - [753]
EP - 760
AB - In this paper, we investigate Egoroff’s theorem with respect to monotone set function, and show that a necessary and sufficient condition that Egoroff’s theorem remain valid for monotone set function is that the monotone set function fulfill condition (E). Therefore Egoroff’s theorem for non-additive measure is formulated in full generality.
LA - eng
KW - non-additive measure; monotone set function; condition (E); Egoroff's theorem; non-additive measure; monotone set function; condition (E); Egoroff's theorem
UR - http://eudml.org/doc/33679
ER -

References

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