On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales
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2022
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Authors
Xuexiao You
- School of Mathematics and Statistics, Hubei Normal University, Huangshi, Hubei 435002, P. R. China.
- College of Computer and Information, Hohai University, Nanjing, Jiangsu 210098, P. R. China.
Dafang Zhao
- School of Mathematics and Statistics, Hubei Normal University, Huangshi, Hubei 435002, P. R. China.
- College of Science, Hohai University, Nanjing, Jiangsu 210098, P. R. China.
Delfim F. M. Torres
- Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal.
Abstract
We introduce and investigate the Henstock-Kurzweil (HK) integral for Riesz-space-valued functions on time scales. Some
basic properties of the HK delta integral for Riesz-space-valued functions are proved. Further, we prove uniform and monotone
convergence theorems.
Share and Cite
ISRP Style
Xuexiao You, Dafang Zhao, Delfim F. M. Torres, On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2487--2500
AMA Style
You Xuexiao, Zhao Dafang, Torres Delfim F. M., On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales. J. Nonlinear Sci. Appl. (2017); 10(5):2487--2500
Chicago/Turabian Style
You, Xuexiao, Zhao, Dafang, Torres, Delfim F. M.. "On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2487--2500
Keywords
- Henstock-Kurzweil integral
- Riesz space
- time scales.
MSC
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