简介：Atwo-leveldiscretizationmethodforeigenvalueproblemsisstudied.ComparedtothestandardGalerkinfiniteelementdiscretizationtechniqueperformedonafinegridthismethoddiscretizestheeigenvalueproblemonacoarsegridandobtainsanimprovedeigenvector(eigenvalue)approximationbysolvingonlyalinearproblemonthefinegrid(ortwolinearproblemsforthecaseofeigenvalueapproximationofnonsymmetricproblems).TheimprovedsolutionhastheasymptoticaccuracyoftheGalerkindiscretizationsolution.ThelinkbetweenthemethodandtheiteratedGalerkinmethodisestablished.Errorestimatesforthegeneralnonsymmetriccasearederived.

简介：GivengraphsG1andG2,wedefineagraphoperationonG1andG2,namelytheSSG-vertexjoinofG1andG2,denotedbyG1★G2.LetS(G)bethesubdivisiongraphofG.TheSSG-vertexjoinG1★G2.isthegraphobtainedfromS(G1)andS(G2)byjoiningeachvertexofG1witheachvertexof62-Inthispaper,whenGi(i=1,2)isaregulargraph,wedeterminethenormalizedLaplacianspectrumofG1★G2.Asapplications,weconstructmanypairsofnormalizedLaplaciancospectralgraphs,thenormalizedLaplacianenergy,andthedegreeKirchhoffindexofG1★G2.

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简介：为x=(x1,x2,，xn)+nn，对称的功能Fn(x,r)并且Gn(x,r)被$$F_n定义(x，r)=F_n(x_1，x_2，\cdots，x_n；r)=\sum\limits_{1\leqslanti_1and$$G_n(x，r)=G_n(x_1，x_2，\cdots在这份报纸，F的Schur凸状<潜水艇class=“a-plus-plus”>n(x,r)并且G<潜水艇class=“a-plus-plus”>n(x,r)被讨论。作为应用程序，由为一个Schur凸的函数的独立变量的bijective转变，作者为一些另外的对称的函数获得Schur凸状，它在最近的文学包含主要结果；并且由majorization的理论的使用建立一些不平等。特别地，作者从这份报纸的结果导出Weierstrass不平等和Ky扇子不平等，并且给Saftas的归纳在n维的空间和其它推测。

简介：Inthispaper,byprovidingsomedifferentconditionsrespecttoanotherworks,weshallpresenttworesultsonabsoluteretractivityofsomesetsrelatedtosomemultifunctionsoftheformF:X×X→Pb,cl(X),oncompletemetricspaces.

简介：LetKbeanalgebraicnumberfieldoffinitedegreeovertherationalfieldQ,andaK（n）thenumberofintegralidealsinKwithnormn.WhenKisaGaloisextensionoverQ,manyauthorscontributetotheintegralpowersumsofaK（n）,Σn≤xaK（n）l,l=1,2,3,···.Thispaperisinterestedinthedistributionofintegralidealsconcerningdifferentnumberfields.TheauthorisabletoestablishasymptoticformulaefortheconvolutionsumΣn≤xaK1（nj）laK2（nj）l,j=1,2,l=2,3,···,whereK1andK2aretwodifferentquadraticfields.

简介：Inthispaperweconsidersomerelatednegativehypergeometricdistributionsarisingfromtheproblemofsamplingwithoutreplacementfromanurncontainingballsofdifferentcoloursandindifferentproportionsbutstoppingonlyaftersomespecificnumberofballsofdifferentcolourshavebeenobtained.Withtheaidofsomesimplerecurrencerelationsandidentitiesweobtaininthecaseoftwocoloursthemomentsforthemaximumnegativehypergeometricdistribution,theminimumnegativehypergeometricdistribution,thelikelihoodrationegativehypergeometricdistributionandconsequentlythelikelihoodproportionalnegativehypergeometricdistributiuon.TotheextentthatthesamplingschemeisapplicabletomodellingdataasillustratedwithabiologicalexampleandinfactmanysituationsofestimatingBernoulliparametersforbinarytraitswithinafinitepopulation,theseareimportantfirst-stepresults.

简介：UsingafixedpointtheoremofKrasnosel'skiitype,thisarticleprovestheexistenceofasymptoticallystablesolutionsforaVolterra-Hammersteinintegralequationintwovariables.

简介：ＴＷＯＮＥＷＳＵＦＦＩＣＩＥＮＴＣＯＮＤＩＴＩＯＮＳＦＯＲＨＡＭＩＬＴＯＮ－ＣＯＮＮＥＣＴＥＤＧＲＡＰＨＳＷＵＺＨＥＮＧＳＨＥＮＧ（吴正声）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＮａｎｊｉｎｇＮｏｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｎａｎｊｉｎｇ...

简介：Inthispaper,westudytheconvergencerateoftwo-dimensionalBaskakovoperatorswithJacobiweightsmakinguseofmultivariatedecomposeskillsandresultsofone-dimensionalBaskakovoperators,andobtainthedirectapproximationtheorem.

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简介：MainresultsTheorem1LetAbesymmetricpositivesemidefinite.Let(?)beadiagonallycompen-satedreducedmatrixofAandLet(?)=σI+(?)(σ>0)beamodiffication(Stieltjes)matrixof(?).Letthesplitting(?)=M-(?)beregularandM=F-Gbeweakregular,whereMandFaresymmetricpositivedefinitematrices.Thentheresultingtwo-stagemethodcorre-spondingtothediagonallycompensatedreducedsplittingA=M-NandinnersplittingM=F-Gisconvergentforanynumberμ≥1ofinneriterations.Furthermore,theiteration

简介：Inthispaper,theoptimaltradingstrategyintimingthemarketbyswitchingbetweentwostocksisgiven.Inordertodealwithalargesamplesizewithafastturnaroundcomputationtime,weproposeaclassofrecursivealgorithm.Asimulationisgiventoverifytheeffectivenessofourmethod.

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简介：纸基于准确公平可靠，相对错误函数作为损失功能在被拿开发最佳的Bonus-Malus系统(BMS)的一个图案。在BMS，频率和严厉部件被考虑。这个图案与从古典方形错误的损失功能导出的传统的BMS相比。

简介：AnalgorithmforsimultaneouscomputationoftheadjointG(s)anddeterminantd(s)ofthematrixpolynomials2JsA1-A2ispresented,whereJisasingularmatrix.BothG(s)andd(s)areexpressedrelativetoabasisofLaguerreorthogonalpolynomials,ThisalgorithmisanewextensionofLeverrier-Fadeevalgorithm.

简介：这份报纸给有限维的无法缩减的操作员的概念((FDI)操作员)并且无限的维的无法缩减的操作员((IDI)操作员)。讨论关系(FDI)操作员，(IDI)操作员和强烈无法缩减的操作员((SI)操作员)并且说明操作员的三个班的一些性质。为有上面的三角形的操作员矩阵的形式的操作员的有限维的irreducibility的一些足够的条件被给。这份报纸证明有一个单条系列的每个操作符是小紧缩的不安一(FDI)在每围住的线性操作符T能被操作符接近在的可分离的Banach空格和表演(FDI)的操作员关于强壮操作员的拓扑学和每个紧缩的操作符K罐头的(X)由操作符接近了在(FDI)关于有一个Schauder基础的Banach空格X上的标准拓扑学的(X)，在此(FDI)(X):={TB(X)：T=i=1kTi,Ti(FDI)，k}。

简介：Inthispaper,weconsiderageneralformoftheincrementsforatwo-parameterWienerprocess.BoththeCsorgo-Revesz'sincrementsandaclassofthelagincrementsarethespecialcasesofthisgeneralformofincrements.OurresultsimplythetheoremthathavebeengivenbyCsorgoandRevesz(1978),andsomeoftheirconditionsareremoved.

简介：这篇论文与混合未知的比例在二件样品的正常混合物为同质调查修改可能性比率测试(LRT)。修改可能性比率测试的限制分发是χ(1)，这被证明[2]。