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Title: The fuzzy Henstock–Kurzweil delta integral on time scales
Author: Zhao, Dafang
Ye, Guoju
Liu, Wei
Torres, Delfim F. M.
Keywords: Fuzzy Henstock–Kurzwei integral
Convergence theorems
Time scales
Issue Date: 2018
Publisher: Springer
Abstract: We investigate properties of the fuzzy Henstock–Kurzweil delta integral (shortly, FHK Δ -integral) on time scales, and obtain two necessary and sufficient conditions for FHK Δ -integrability. The concept of uniformly FHK Δ -integrability is introduced. Under this concept, we obtain a uniformly integrability convergence theorem. Finally, we prove monotone and dominated convergence theorems for the FHK Δ -integral.
Peer review: yes
DOI: 10.1007/978-3-319-75647-9_41
ISBN: 978-3-319-75646-2
Publisher Version:
Appears in Collections:SCG - Capítulo de livro

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