Integrability and L1-convergence of fuzzy trigonometric series with special fuzzy coefficients

被引：0

作者：

Kaur, Sandeep ^{[1
]}

Kaur, Jatinderdeep ^{[1
]}

机构：

[1] Thapar Univ Patiala, Sch Math & Comp Applicat, Patiala 147004, Punjab, India

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2015年 / 8卷 / 01期

关键词：

Fuzzy numbers; fuzzy trigonometric series; integrability; convergence in fuzzy L-1-norm; FOURIER-SERIES; THEOREM; L1-CONVERGENCE; CONVERGENCE; EXPECTATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2015 All rights reserved.

引用

页码：23 / 39

页数：17

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