共查询到18条相似文献,搜索用时 466 毫秒
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第一积分中值函数 总被引:2,自引:2,他引:0
樊守芳 《数学的实践与认识》2007,37(15):189-193
通过上下确界,给出了"第一积分中值函数"的定义,对"第一积分中值函数"的分析性质进行了系统的讨论,证明了"第一积分中值函数"的单调性、可积性、连续性、可导性等分析性质. 相似文献
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樊守芳 《数学的实践与认识》2012,42(10):211-217
通过上、下确界定义,给出了"第二积分中值函数"的定义,并对"第二积分中值函数"的单调性、可积性、连续性、可导性等分析性质进行了系统的讨论. 相似文献
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樊守芳 《数学的实践与认识》2009,39(5)
给出了"Taylor中值函数"的定义,对Taylor中值函数的分析性质进行了系统的综合讨论,证明了Taylor中值函数的单调性、可积性、连续性、可微性等分析性质. 相似文献
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文[2-8]对微分中值定理及Taylor定理"中间点"的渐近性质进行了研究,本文在此基础上,给出了"广义Taylor中值函数"的定义,对"广义Taylor中值函数"的分析性质进行了系统的讨论,证明了"广义Taylor中值函数"的单调性、可积性、连续性、可微性等分析性质. 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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对一类不满足g(a)≠0的函数g讨论了第一积分中值定理中ξ=ξ(χ)在χ→+∞时的渐近性质,并对第二积分中值定理的中值ξ=ξ(χ)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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主要研究了两类函数的Cauchy积分公式及其相关问题.首先给出了Clifford分析中右hypergenic函数的Cauchy积分公式,其次研究了右hypergenic函数拟Cauchy型积分的性质,最后给出了Clifford分析中双hypergenic函数的Cauchy积分公式. 相似文献
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The Neumann problem on an ellipsoid in \(\mathbf {R}^n\) asks for a function harmonic inside the ellipsoid whose normal derivative is some specified function on the ellipsoid. We solve this problem when the specified function on the ellipsoid is a normalized polynomial (a polynomial divided by the norm of the normal vector arising from the definition of the ellipsoid). Specifically, we give a necessary and sufficient condition for a solution to exist, and we show that if a solution exists then it is a polynomial whose degree is at most the degree of the polynomial giving the specified function. Furthermore, we give an algorithm for computing this solution. We also solve the corresponding generalized Neumann problem and give an algorithm for computing its solution. 相似文献
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-HNBUE class and its dual were introduced by Basu and Ebrahimi [2]. In this paper we give a generalized definition, and discuss their reliability bounds based on the known mean. 相似文献
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Jürgen Jost 《Calculus of Variations and Partial Differential Equations》1994,2(2):173-204
We show the existence of harmonic mappings with values in possibly singular and not necessarily locally compact complete metric length spaces of nonpositive curvature in the sense of Alexandrov. As a technical tool, we show that any bounded sequence in such a space has a subsequence whose mean values converge. We also give a general definition of harmonic maps between metric spaces based on mean value properties and-convergence. 相似文献
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For a closed set S and a bounded closed convex set U in a real normed vector space, we give exact subdifferential formulas of an optimal value function \(\mathrm {I}\!\Gamma _{S|U}\) whose definition is based on the Minkowski function of U. \(\mathrm {I}\!\Gamma _{S|U}\) covers distance function and indicator function as special cases. The main contribution is dropping two important assumptions of some main results in the literature. 相似文献
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Samuel Monnier 《Annales Henri Poincare》2016,17(5):1003-1036
We prove a formula for the global gravitational anomaly of the self-dual field theory in the presence of background gauge fields, assuming the results of arXiv:1110.4639. Along the way, we also clarify various points about the self-dual field theory. In particular, we give a general definition of the theta characteristic entering its partition function and settle the issue of its possible metric dependence. We treat the cohomological version of type IIB supergravity as an example of the formalism. We show the apparent existence of a mixed gauge-gravitational global anomaly, occurring when the B-field and Ramond–Ramond two-form gauge fields have non-trivial Wilson lines, and suggest a way in which it could cancel. 相似文献
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研究了一端奇异且在内部具有转移条件的Sturm-Liouville算子的Weyl函数,我们给出了相应的Weyl函数的定义,并对Weyl函数性质进行了讨论. 相似文献
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Cauchy-Stieltjes积分和面积平均p叶函数 总被引:1,自引:0,他引:1
本文研究由Cauchy-Stieltjes积分形成的函数空间Fα.首先给出这个空间的一个等价定义,然后研究面积平均p叶函数的对数函数和这个函数空间的关系,最后对单叶函数的情形做进一步的讨论.根据这种研究,我们得到了有界单叶函数的系数增长估计,这是目前最好的结果. 相似文献