Some new properties of an outer measure on a σ - field

被引：5

作者：

Ahmed, Ibrahim S. ^{[1
]}

Asaad, Samah H. ^{[1
]}

Ebrahim, Hassan H. ^{[2
]}

机构：

[1] Tikrit Univ, Coll Educ Tuzkhurmatu, Dept Phys, Tikrit, Iraq

[2] Tikrit Univ, Coll Comp Sci & Math, Dept Math, Tikrit, Iraq

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2021年 / 24卷 / 04期

关键词：

sigma; -; field; Measure; Null-additive; Outer measure; Countably sub-additive;

D O I：

10.1080/09720502.2021.1884386

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article aims to introduce some concepts such as complete outer measure on a sigma - field and extension of outer measure on a sigma - field. We discuss some properties of these concepts. Furthermore, the notion of outer measure relative to the sigma - field has been studied as stronger form of null-additive relative to the sigma - field. Finally, aims to introduce a new space noted by complete outer measure space and we present a theorem of the unique smallest complete extension outer measure space.

引用

页码：947 / 952

页数：6

共 9 条

[1] Generalizations of σ-field and New Collections of Sets Noted by δ-field
Ahmed, Ibrahim S.
Ebrahim, Hassan H.
[J]. SECOND INTERNATIONAL CONFERENCE OF MATHEMATICS (SICME2019), 2019, 2096
[2] Ash R. B., 1972, REAL ANAL PROBABILIT, DOI DOI 10.1016/C2013-0-06164-6
[3] sigma-ring and sigma-algebra of Sets
Endou, Noboru
Nakasho, Kazuhisa
Shidama, Yasunari
[J]. FORMALIZED MATHEMATICS, 2015, 23 (01): : 51 - 57
[4] The Distribution Function of a Probability Measure on a Linearly Ordered Topological Space
Fulgencio Galvez-Rodriguez, Jose
Angel Sanchez-Granero, Miguel
[J]. MATHEMATICS, 2019, 7 (09)
[5] Invariant relative probability measures for discrete dynamical systems created by maps
Karami, Mehdi
Molaei, Mohammad Reza
[J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2019, 22 (03) : 387 - 404
[6] A foundation for probabilistic beliefs with or without atoms
Mackenzie, Andrew
[J]. THEORETICAL ECONOMICS, 2019, 14 (02) : 709 - 778
[7] Pap E, 2001, NOVI SAD J MATH, V31, P9
[8] Extension of measures on two disjoint rings
Sookoo, Norris
[J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2018, 21 (06) : 1447 - 1456
[9] Zhenyuan W., 2009, GEN MEASURE THEORY, V1st

← 1 →