HAUSDORFF

作品数:341被引量:546H指数:13
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相关领域:理学自动化与计算机技术更多>>
相关作者:王国俊陶双平任转喜高贵连李明忠更多>>
相关机构:浙江师范大学武汉大学陕西师范大学四川大学更多>>
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相关基金:国家自然科学基金陕西省自然科学基金浙江省自然科学基金国家教育部博士点基金更多>>
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Continuity of the Solution Mappings for Parametric Generalized Strong Vector Equilibrium Problems
《Advances in Pure Mathematics》2021年第12期937-949,共13页Xianzheng Dong Chi Zhang Lizhi Zhang 
The stability analysis of the solution mappings for vector equilibrium problems is an important topic in optimization theory and its applications. In this paper, we focus on the continuity of the solution mapping for ...
关键词:Parametric Generalized Strong Vector Equilibrium Problem Lower Semicontinuity Hausdorff Upper Semicontinuity Nonlinear Scalarization 
A Growth Behavior of SzegöType Operators
《Advances in Pure Mathematics》2020年第9期492-500,共9页Jongho Yang 
We define new integral operators on the Haydy space similar to Szegö projection. We show that t...
关键词:Szegö Projection Hausdorff-Young Theorem Coeffcient Multiplier Stein Interpolation Theorem 
The Estimates of the Upper Bounds of Hausdorff Dimensions for the Global Attractor for a Class of Nonlinear Coupled Kirchhoff-Type Equations被引量:3
《Advances in Pure Mathematics》2018年第1期1-10,共10页Guoguang Lin Ming Zhang 
This paper deals with the Hausdorff dimensions of the global attractor for a class of Kirchhoff-type coupled equations with strong damping and source terms. We obtain a precise estimate of upper bound of Hausdorff dim...
关键词:Kirchhoff-Type EQUATIONS The Global Attractor HAUSDORFF Dimension 
A Note on the Selection Expectation and Support Function
《Advances in Pure Mathematics》2015年第10期583-586,共4页Rigao He 
In this paper, we prove the relationship between selection expectation and support function by a new method.
关键词:Support Function HAUSDORFF METRIC RANDOM Set SELECTION EXPECTATION 
<i>β</i>-Hausdorff Operator on Lipschitz Space in the Unit Polydisk
《Advances in Pure Mathematics》2014年第5期171-175,共5页Chaofeng Zhang Rong Hu 
In this paper, we define β-Hausdorff operator on the unit polydisk and study the boundedness of the operator on Lipschitz space. Firstly, we translate the problem of coefficient into integral of weighted composition ...
关键词:UNIT POLYDISK Lipschitz Space β-Hausdorff OPERATOR Weighted Composition OPERATOR 
Hausdorff Dimension of Multi-Layer Neural Networks
《Advances in Pure Mathematics》2013年第9期9-14,共6页Jung-Chao Ban Chih-Hung Chang 
This elucidation investigates the Hausdorff dimension of the output space of multi-layer neural networks. When the factor map from the covering space of the output space to the output space has a synchronizing word, t...
关键词:MULTI-LAYER Neural Networks HAUSDORFF DIMENSION Sofic SHIFT OUTPUT Space 
Some Properties on the Error-Sum Function of Alternating Sylvester Series
《Advances in Pure Mathematics》2012年第6期459-463,共5页Huiping Jing Luming Shen 
The error-sum function of alternating Sylvester series is introduced. Some elementary properties of this function are studied. Also, the hausdorff dimension of the graph of such function is determined.
关键词:ALTERNATING SYLVESTER SERIES Error-Sum Function HAUSDORFF Dimension 
Besicovitch-Eggleston Function
《Advances in Pure Mathematics》2011年第5期274-275,共2页Manav Das 
In this work we introduce a function based on the well-known Besicovitch-Eggleston sets, and prove that the Hausdorff dimension of its graph is 2.
关键词:HAUSDORFF Dimension MULTIFRACTAL BINOMIAL Measure DYADIC INTERVALS 
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