共查询到20条相似文献,搜索用时 109 毫秒
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积分型Cauchy中值定理中间点的渐近性 总被引:1,自引:0,他引:1
讨论了当区间的两个端点都趋于其内一定点时,积分型Cauchy中值定理"中间点"ξ的渐近性,推广并改进了文献[1]之中的相应结果. 相似文献
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积分第一、二中值定理的中间点的渐近性质的一般性定理 总被引:2,自引:1,他引:1
郑权 《数学的实践与认识》2005,35(5):240-243
把关于积分第一中值定理的中间点ξ的渐近性质的较多有关结果,归纳推广为一个弱条件下的一般性定理,并且在此弱条件下给出一种简洁的证明;而且,对于较少讨论的积分第二中值定理的中间点ξ的渐近性质,也得到相应的弱条件下的一般性定理,并且同样给出简洁证明. 相似文献
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The paper deals with the asymptotic behaviour of the differential mean value of divided differences as the interval shrinks to zero by presenting an asymptotic expansion. The coefficients are given by a recurrence formula. For a wide class of analytic functions the differential mean value can be represented by a convergent sum. Our results generalize two recent theorems by Powers, Riedel and Sahoo [R.C. Powers, T. Riedel, P.K. Sahoo, Limit properties of differential mean values, J. Math. Anal. Appl. 227 (1998) 216-226]. 相似文献
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对一类不满足g(n)≠0的函数g讨论了第一积分中值定理中ξ=ξ(x)在x→+∞时的渐近性质,并对第二积分中值定理的中值ξ=ξ(x)的渐近性进行了探讨,给出一些相关的结果. 相似文献
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The main purpose of this paper is to use the mean value theorem of the Dirichlet L-functions to study the asymptotic behavior of the Dedekind sums with a weight of Hurwitz zeta-function and to give an interesting asymptotic formula. 相似文献
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讨论了积分区间为[a,x]的第二积分中值定理当x→+∞中间点的渐近性态,得到了两个相关的结果,并给出了简洁的证明. 相似文献
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Zhang Wenpeng 《Journal of Mathematical Analysis and Applications》2002,267(1):89-96
The main purpose of this paper is to use a mean value theorem of Dirichlet L-functions to study the asymptotic property of a hybrid mean value of a Cochrane sum and to give an interesting mean value formula. 相似文献
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Wenpeng Zhang 《Journal of Mathematical Analysis and Applications》2002,276(1):446-457
The main purpose of this paper is using a mean value theorem of Dirichlet L-functions to study the asymptotic property of a hybrid mean value of a Cochrane sum, and give an interesting mean value formula. 相似文献
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张文鹏 《中国科学A辑(英文版)》2003,(2)
The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the asymptotic property of one class of number-theoretic functions, and give an interesting mean square value formula. 相似文献
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On the difference between an integer and its inverse modulo <Emphasis Type="Italic">n</Emphasis>(II)
Wenpeng Zhang 《中国科学A辑(英文版)》2003,46(2):229-238
The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the asymptotic property of
one class of number-theoretic functions, and give an interesting mean square value formula. 相似文献
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The main purpose of this paper is using the mean value theorem of Dirichlet L-function and the estimates for character sums to study the asymptotic properties of a hybrid mean value of Kloosterman sums with the weight of Hurwitz zeta-function and the Cochrane sums, and give an interesting mean value formula for it. 相似文献
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一类非线性具有转点的三阶奇摄动边值问题 总被引:1,自引:0,他引:1
叶志勇 《高校应用数学学报(A辑)》1994,(4):401-408
本文主要主类具有转点的非线性奇摄动边值问题,首先利用拓扑横截性定理和不动点原理得到了退化解和形式解的存在条件,讨论了上述解在奇点的光滑性条件,最后得到了一致有效的渐近估计。 相似文献
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张文鹏 《中国科学A辑(英文版)》2003,46(2)
The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to studythe asymptotic property of one class of number-theoretic functions, and give an interesting mean square valueformula. 相似文献
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关于积分中值定理的一个结论(英文) 总被引:3,自引:0,他引:3
文 [1 ],[2 ]研究了当积分区间长度趋于零时 ,积分中值定理中间点的渐近性质 ,本文研究当积分区间长度趋于无穷时 ,积分中值定理中间点的渐近性质 . 相似文献