Integrability and \(L^1\)-convergence of fuzzy trigonometric series with special fuzzy coefficients
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Authors
Sandeep Kaur
- School of Mathematics and Computer Applications, Thapar University Patiala, Punjab -147004, India.
Jatinderdeep Kaur
- School of Mathematics and Computer Applications, Thapar University Patiala, Punjab -147004, India.
Abstract
In this paper, we generalize some classical results on the integrability of trigonometric series using the
notion of integrability in fuzzy \(L^1\)-norm. Here, we introduce new classes of fuzzy coefficients and obtain
the necessary and sufficient conditions for \(L^1\)-convergence of fuzzy trigonometric series. Also, an example
is given for the existence of new classes of fuzzy coefficients.
Share and Cite
ISRP Style
Sandeep Kaur, Jatinderdeep Kaur, Integrability and \(L^1\)-convergence of fuzzy trigonometric series with special fuzzy coefficients, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 1, 23--39
AMA Style
Kaur Sandeep, Kaur Jatinderdeep, Integrability and \(L^1\)-convergence of fuzzy trigonometric series with special fuzzy coefficients. J. Nonlinear Sci. Appl. (2015); 8(1):23--39
Chicago/Turabian Style
Kaur, Sandeep, Kaur, Jatinderdeep. "Integrability and \(L^1\)-convergence of fuzzy trigonometric series with special fuzzy coefficients." Journal of Nonlinear Sciences and Applications, 8, no. 1 (2015): 23--39
Keywords
- Fuzzy numbers
- fuzzy trigonometric series
- integrability
- convergence in fuzzy \(L^1\)-norm.
MSC
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