Convergence in measure theorems of nonlinear integrals of functions integrable to the pth power

Kawabe, Jun

doi:10.1016/j.fss.2019.12.007

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2020

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“…In further research, we will focus on the application of these methods. For instance, we will generalize convergence in measure theorems of nonlinear integrals [17,18] in the general framework concerning a pair of monotone measures, and discuss the linearity of pan-integrals and concave integrals [19,20], our results will be useful.…”

Section: Discussionmentioning

confidence: 99%

Absolute Continuity of Fuzzy Measures and Convergence of Sequence of Measurable Functions

2020

Mathematics

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In this note, the convergence of the sum of two convergent sequences of measurable functions is studied by means of two types of absolute continuity of fuzzy measures, i.e., strong absolute continuity of Type I, and Type VI. The discussions of convergence a.e. and convergence in measure are done in the general framework relating to a pair of monotone measures, and general results are shown. The previous related results are generalized.

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Section: Discussionmentioning

confidence: 99%

Absolute Continuity of Fuzzy Measures and Convergence of Sequence of Measurable Functions

2020

Mathematics

View full text Add to dashboard Cite

show abstract

Convergence in measure theorems of nonlinear integrals of functions integrable to the pth power

Cited by 1 publication

References 18 publications

Absolute Continuity of Fuzzy Measures and Convergence of Sequence of Measurable Functions

Absolute Continuity of Fuzzy Measures and Convergence of Sequence of Measurable Functions

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