共查询到20条相似文献,搜索用时 46 毫秒
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主要考虑如下加权全能量极值问题:h∈■^(inf)(A_(1),A_(2))α∫∫A_(1)(|h_(N)|^(2)+|h_(T)|^(2))1/(|h_(z)|^(2))dz+β∫∫A_(1)|h_(N)|^(2)+|h_(T)|^(2)/J(z,h)1/|z|^(2)dz,其中■(A_(1),A_(2))代表从圆环A_(1)到圆环A_(2)的所有保向同胚映射的集合.研究得到唯一的极值映射为径向拉伸映射.这将[Iwaniec T,Onninen J.Hyperelastic deformations of smallest total energy[J].Arch Rational Mech Anal,2009,194:927-986.]的结果推广至非欧情形.同时,也分别研究了圆环上的加权调和能量的极值问题与加权偏差的极值问题. 相似文献
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加权几何平均组合预测模型及其应用 总被引:7,自引:0,他引:7
本文提出了由几个不同的预测模型通过加权几何平均的方式进行组合从而得到加权几何平均组合预测模型,给出了确定最优权系数的方法。最后,以应用实例说明了我们的组合预测模型比加权算术平均组合预测模型更优越。 相似文献
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设 C_[a,b]是定义在[a,b]上被赋予一致范数的实连续函数空间,G 是 C_[a,b]的一个真子集,ω是一固定的非负连续函数.如果 g∈G 使 相似文献
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关于多元Baskakov算子的加权逼近 总被引:1,自引:0,他引:1
本文首先指出一类多元Baskakov算子在通常的加权范数下是无界的.然后给出了一类新的加权范数,在此范数下它是压缩的.最后利用多元分解技巧,解决了多元Baskakov算子加权逼近的特征刻划文问题. 相似文献
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赵振刚 《数学的实践与认识》2010,40(1)
在Rn中的有界域上建立加权调和Bergman核,并得出单位球的加权调和Bergman核的表达式;利用加权调和Bergman核在Rn的有界域上构造度量矩阵;得到关于调和映射的Jacobi矩阵与度量矩阵之间的一个不等式. 相似文献
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本文给出了单位球上加权Bergman空间上的加权复合算子的本性范数,并刻画了这类加权复合算子的有界性和紧性. 相似文献
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本文给出了加权Dirichlet空间D_β上有界Fredholm加权复合算子的刻画,作为推论分别给出了D_β上加权复合算子是有界可逆的和酉算子的刻画. 相似文献
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Yunping Wang 《Journal of Mathematical Analysis and Applications》2021,493(1):124524
This paper is devoted to the investigation of weighted mean topological dimension in dynamical systems. We show that the weighted mean dimension is not larger than the weighted metric mean dimension, which generalizes the classical result of Lindenstrauss and Weiss [16]. We also establish the relationship between the weighted mean dimension and the weighted topological entropy of dynamical systems, which indicates that each system with finite weighted topological entropy or small boundary property has zero weighted mean dimension. 相似文献
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Q. H. Ansari Z. Khan A. H. Siddiqi 《Journal of Optimization Theory and Applications》2005,127(2):263-283
In this paper, we introduce weighted variational inequalities over product of sets and system of weighted variational inequalities.
It is noted that the weighted variational inequality problem over product of sets and the problem of system of weighted variational
inequalities are equivalent. We give a relationship between system of weighted variational inequalities and systems of vector
variational inequalities. We define several kinds of weighted monotonicities and establish several existence results for the
solution of the above-mentioned problems under these weighted monotonicities. We introduce also the weighted generalized variational
inequalities over product of sets, that is, weighted variational inequalities for multivalued maps and systems of weighted
generalized variational inequalities. Extensions of weighted monotonicities for multivalued maps are also considered. The
existence of a solution of weighted generalized variational inequalities over product of sets is also studied. The existence
results for a solution of weighted generalized variational inequality problem give also the existence of solutions of systems
of generalized vector variational inequalities.
The first and third author express their thanks to the Department of Mathematical Sciences, King Fahd University of Petroleum
and Minerals, Dhahran, Saudi Arabia for providing excellent research facilities. The authors are also grateful to the referees
for comments and suggestions improving the final draft of this paper. 相似文献
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N Madhushini C Rajendran Y Deepa 《The Journal of the Operational Research Society》2009,60(7):991-1004
The problem of scheduling in permutation flowshops is considered in this paper with the objectives of minimizing the sum of weighted flowtime/sum of weighted tardiness/sum of weighted flowtime and weighted tardiness/sum of weighted flowtime, weighted tardiness and weighted earliness of jobs, with each objective considered separately. Lower bounds on the given objective (corresponding to a node generated in the scheduling tree) are developed by solving an assignment problem. Branch-and-bound algorithms are developed to obtain the best permutation sequence in each case. Our algorithm incorporates a job-based lower bound (integrated with machine-based bounds) with respect to the weighted flowtime/weighted tardiness/weighted flowtime and weighted tardiness, and a machine-based lower bound with respect to the weighted earliness of jobs. The proposed algorithms are evaluated by solving many randomly generated problems of different problem sizes. The results of an extensive computational investigation for various problem sizes are presented. In addition, one of the proposed branch-and-bound algorithms is compared with a related existing branch-and-bound algorithm. 相似文献
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We characterize boundedness and compactness of products of differentiation operators and weighted composition operators between weighted Banach spaces of analytic functions and weighted Zygmund spaces or weighted Bloch spaces with general weights. 相似文献
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This paper gives a note on weighted composition operators on the weighted Bergman space, which shows that for a fixed composition symbol, the weighted composition operators are bounded on the weighted Bergman space only with bounded weighted symbols if and only if the composition symbol is a finite Blaschke product. 相似文献
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In this paper, the authors study further properties and applications of weighted homology and persistent homology. The Mayer-Vietoris sequence and generalized Bockstein spectral sequence for weighted homology are introduced. For applications, the authors show an algorithm to construct a filtration of weighted simplicial complexes from a weighted network. They also prove a theorem to calculate the mod p2 weighted persistent homology provided with some information on the mod p weighted persistent homology. 相似文献
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For one definition of weighted pseudoinversion with singular weights, we establish necessary and sufficient conditions for
the existence and uniqueness of a solution of a system of matrix equations. Expansions of weighted pseudoinverse matrices
in matrix power series and matrix power products are obtained. A relationship between weighted pseudoinverse matrices the
weighted normal pseudosolutions is established. Iterative methods for the calculation of weighted pseudoinverse matrices and
weighted normal pseudosolutions are constructed. 相似文献
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研究了三参数区间数信息集成算子及其在决策中的应用.首先,给出了三参数区间数的有序加权CP-OWA算子、有序加权CP-OWG算子及广义有序加权CP-OWA算子和广义有序加权CP-OWG算子的概念,并初步探讨了它们的性质,推广了相关文献中的三参数区间数加权CP-OWA算子和加权CPOWG算子.然后,通过方案三参数区间数属性值的可能度得到方案属性值可能度矩阵,进而根据可能度矩阵的排序向量实现方案三参数区间数属性值的排序,并通过文中定义的三参数区间数信息集成算子进行信息集成,实现方案排序择优. 相似文献
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利用加权Herz型Hardy空间的原子分解理论,讨论了广义分数次积分算子Tl从加权Lp空间到加权Lq空间,以及从加权Herz型Hardy空间到加权Herz空间的有界性问题.将已有的分数次积分算子的结论推广到广义分数次积分算子的情形. 相似文献