共查询到20条相似文献,搜索用时 46 毫秒
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《数学的实践与认识》2015,(11)
在新的模糊数序关系意义下,介绍了复模糊数的概念及运算性质,复模糊数列收敛的定义及复模糊级数收敛性的判别法.并以此为基础,定义了复模糊值函数级数的收敛性及一致收敛性,讨论了复模糊值函数级数的收敛判别法及其基本性质,以及一致收敛的判别法. 相似文献
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Taylor级数与Fourier级数是两类非常重要的函数项级数,二者在发展与应用背景、展开条件、收敛性和展开的唯一性等方面不尽相同,本文对此作了一些总结与探讨。 相似文献
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文献[1]中提出了基于结构元理论的Fuzzy数项级数的概念,文献[2]、文献[3]、文献[4]对其收敛性进行了探讨,文献[5]、文献[6]对模糊值函数项数列及级数进行了研究。本文在此基础上给出了基于结构元线性生成的复Fuzzy值函数项数列及级数的定义,同时对复Fuzzy值函数项级数的一些重要性质进行了研究,并给出了相应定理。 相似文献
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对于任意项级数sum from n=1 to ∞(a_n),应首先考虑它的绝对收敛性,如果非绝对收敛,再考虑它是否条件收敛.而对于条件收敛级数,一般教材只介绍了交错级数的莱布尼兹审敛法,本文介绍另一些判定任意项级数是否条件收敛的方法. 相似文献
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范爱华 《数学年刊A辑(中文版)》1986,(5)
本文研究一般的随机Dirichlet级数的a.s.收敛性和L~p收敛性,建立了Valiron公式。对于a.s.收敛性,我们还精确地确定出了级数的绝对收敛坐标,讨论了所谓的0—1律。 作为上述结果的应用,我们在一定条件下证明了,随机缺项Taylor级数的部分和多项式的零点之极限分布就是该级数的收敛圆上的均匀分布。 相似文献
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Yu. N. Lin'kov 《Journal of Mathematical Sciences》1991,53(4):409-415
We give a characterization of the types of asymptotic discernibility of families of hypotheses in the case of hypothetical measures that are not, in general, mutually absolutely continuous. The case when the logarithm of the likelihood ratio admits an asymptotic expansion of the type of an expansion with local asymptotic normality is examined in detail. Examples are studied.Translated fromTeoriya Sluchainykh Protsessov, Vol. 15, pp. 64–71, 1987. 相似文献
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Mathematical Notes - We study the initial boundary-value problem for three-dimensional systems of equations of pseudoparabolic type. The system is similar to the Oskolkov system, but differs from... 相似文献
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We analyze one class of families of integral equations and describe the dependence of the singularities of solutions of integral equations on the dimensions of the families of kernels of equations. On the basis of these results, we propose procedures for the construction of approximate solutions for a small parameter. 相似文献
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A. V. Berdakchiev 《Mechanics of Composite Materials》1976,12(3):347-352
It is shown that the asymptotic solution of a problem of the nonlinear theory of thermoviscoelasticity, if it exists, can be found directly from the solution of the asymptotic boundary-value problem without completely solving the starting problem.M. V. Lomonosov Moscow State University. Translated from Mekhanika Polimerov, No. 3, pp. 395–400, May–June, 1976. 相似文献
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A. N. Vetokhin 《Differential Equations》2016,52(3):272-281
We consider parametric families of differential systems with coefficients that are bounded and continuous on the half-line and uniformly in time continuously depend on a real parameter. For each Lyapunov exponent, we construct a family such that the Lyapunov exponent of its systems treated as a function of the parameter is not a lower semicontinuous function for any value of the parameter. 相似文献
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