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The Calculation and Estimate of Interval-Valued and Fuzzy Dirichlet Series Coefficient

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Abstract:

This article gives the definition of interval-valued Dirichlet series. Based on [1, , this article discusses some properties about the coefficient of interval-valued and fuzzy Dirichlet series. Ihe calculation of coefficient , of interval-valued Dirichlet series and the coefficient of fuzzy Dirichelt series are also discussed. Moreover, some relative theorems and properties are presented.

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Periodical:

Applied Mechanics and Materials (Volumes 325-326)

Pages:

1515-1518

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.325-326.1515

Citation:

Cite this paper

Online since:

June 2013

Authors:

Yu Duan, Hong Jian Luo

Keywords:

Calculation, Fuzzy Dirichlet Series, Interval-Valued Dirichlet Series, Uniformly Convergent

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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References

[1] Yu jia rong. Dirichlet Series and Random Dirichlet Series, Science Press. 1997,pp.25-29.

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[2] Knop P K．Uber die konvergenz abszisse des laplace-integrals, Maths ZeltS.1951(54),pp.291-296.

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[3] DUAN Yu Fuzzy- valued Dirichlet Series and Its convergence Region. Natural Science Journal of Xiangtan University, 2001(9), pp.13-15.

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[4] DUAN Yu .Interval-Valued Dirichlet Series and Its Convergence Region. Journal of Natural Science of Hunan Normal University, 2010(3), pp.38-41.

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[5] ZHOU Hong-xi. Bi-random Dirichlet series. Journal of Hubei University(Natural Science Edition, 2003(3),pp.15-17.

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