Lebesgue decomposition type theorems for weakly null-additive functions on D-posets

被引：0
|
作者：
Khare, Mona [1 ]
Shukla, Anurag [2 ]
Pandey, Pratibha [1 ]
机构：
[1] Univ Allahabad, Dept Math, Prayagraj 211002, India
[2] CMP Degree Coll, Dept Math, Prayagraj 211002, India
来源：
SOFT COMPUTING | 2024年 / 28卷 / 5期
关键词：
Difference posets; Absolute continuity; sigma-Null-additive; sigma-Weakly null-additive; Decomposition; JORDAN TYPE DECOMPOSITION; SAKS DECOMPOSITIONS; QUANTUM; ATOMS;
D O I：
10.1007/s00500-023-09608-5
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In the present paper, we have developed the theory of weak null-additivity and absolute continuity in the realm of nonadditive measures on difference posets, and afterward proved two variants of the Lebesgue decomposition theorem in the context. A number of examples are constructed to illustrate the theory.
引用
收藏
页码：3813 / 3821
页数：9
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