Geodesic
Integrability and $L^1$-convergence of fuzzy trigonometric series with special fuzzy coefficients
Kaur, Sandeep1 ; Kaur, Jatinderdeep2
1 School of Mathematics and Computer Applications, Thapar University Patiala, Punjab -147004, India
2 School of Mathematics and Computer Applications, Thapar University Patiala, Punjab -147004, India
Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 1, p. 23-39.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.008.01.04
Classification : 46S40, 42A20, 42A16, 42A32
Keywords: Fuzzy numbers, fuzzy trigonometric series, integrability, convergence in fuzzy \(L^1\)-norm.

Kaur, Sandeep 1 ; Kaur, Jatinderdeep 2

1 School of Mathematics and Computer Applications, Thapar University Patiala, Punjab -147004, India
2 School of Mathematics and Computer Applications, Thapar University Patiala, Punjab -147004, India 
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Kaur, Sandeep; Kaur, Jatinderdeep. Integrability and \(L^1\)-convergence of fuzzy trigonometric series with special fuzzy coefficients. Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 1, p. 23-39. doi : 10.22436/jnsa.008.01.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.008.01.04/

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