Integrability and \(L^1\)-convergence of fuzzy trigonometric series with special fuzzy coefficients


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.


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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


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