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简介：InthispaperwegiveanalmostsharperrorestimateofHalley’siterationforthemajorizingsequence.Comparedwiththecorrespondingresultsin[6,14],itisfarbetter.Meanwhile,theconvergencetheoremisestablished.forHalley’siterationinBanachspaces.

简介：ThisarticledescribesalocalerrorestimatorforGlimm'sschemeforhyperbolicsystemsofconservationlawsandusesittoreplacetheusualrandomchoiceinGlimm'sschemebyanoptimalchoice.Asaby-productofthelocalerrorestimator,theprocedureprovidesaglobalerrorestimatorthatisshownnumericallytobeaveryaccurateestimateoftheerrorinL1(R)foralltimes.Althoughthereispartialmathematicalevidencefortheerrorestimatorproposed,atthisstagetheerrorestimatormustbeconsideredad-hoc.Nonetheless,theerrorestimatorissimpletocompute,relativelyinexpensive,withoutadjustableparametersandatleastasaccurateasotherexistingerrorestimators.Numericalexperimentsin1-DforBurgers'equationandforEuler'ssystemareperformedtomeasuretheasymptoticaccuracyoftheresultingschemeandoftheerrorestimator.

简介：<正>InthepresentnotethealgebraicindependenceofvaluesofseveralMahlerserieswithcertainparticularanddifferentparametersatalgebraicpointsisestablishedbymeansofatypicalapproximationmethodhandlingtheLiouvilletypeseries.

简介：Inthisarticle,westudytheproblemsofBorel'sdirectionsofmeromorphicfunc-tionsconcerningsharedvaluesandprovethatiftwomeromorphicfunctionsofinfiniteordersharethreedistinctvalues,theirBorel'sdirectionsaresame.

简介：InthispaperwediscusstheconvergenceofamodifiedNewton’smethodpresentedbyA.Ostrowski[1]andJ.F.Traub[2],whichhasquadraticconvergenceorderbutreducesoneevaluationofthederivativeateverytwostepscomparedwithNewton’smethod.Aconvergencetheoremisestablishedbyusingaweakconditiona≤3-2(21/2)andasharperrorestimateisgivenabouttheiterativesequence.

简介：Thispaperusesgraphicmethodtoanalyzethemechanismofprimenumberformationandtheperiodiccharacteristicsofitsmultipleinnaturalnumbers.TheGoldbach’sconjectureisprovedbytheanalysisdiagrams.

简介：Letl1,l2,…,lgbeevenintegersandxbeasufficientlylargenumber.Inthispaper,theauthorsprovethatthenumberofpositiveoddintegersk≤xsuchthat（k+l1）2,（k+l2）2,…,（k+lg）2cannotbeexpressedas2n+pαisatleastc（g）x,wherepisanoddprimeandtheconstantc（g）dependsonlyong.

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简介：霍尔多项式在谎言代数学和量组的结构作为结构的系数起一个重要作用，是众所周知的。由使用表示范畴的性质仿射发抖，计算霍尔多项式为的任务仿射发抖能被归结为数一些矩阵方程的答案的数字。这个方法被使用了为不能分解的代表获得霍尔多项式类型Ãm(m≥1)。

简介：Inthispaper,weconsiderthefollowingopenproblemraisedbyH.Schneiderin1984.Qucstioa[1,Question5.3]:LetA=M-NbeaweakregularsplittingofasingularM-matrix.Doestheineqalityind1(M-1N)≤ind0（A）holdinsomeinterestingcasesevenifp(M-1N)>1?

简介：通过利用K泛函及光滑模、不等式等技巧，在Orlicz空间中讨论了Miintz有理逼近问题，得到了有理逼近的三种估计．

简介：LetH1andH2beseparableHilbertspaces,andB(H1,H2)allofboundedlinearoperatorsfromH1intoH2.Inthisnote,weprovethefollowingtheorem:foranypositiveintegerNandT∈B(H1,H2)withaclosedrange,thereexistsanouterinverseT#NwithfiniterankNsuchthatT+y=liraT#Nyforanyy∈H2,whereT+N→∞denotestheMoore-PenroseinverseofT.ThuscomputingT+isreducedtocomputingouterinversesT#NwithfiniterankN.Moreover,becauseofthestabilityofboundedouterinverseofaT∈B(H1,H2),thisisveryuseful.

简介：1IntroductionForann×nmatrixAwhichisaninverseM-matrix,M.Neumannin[1]conjecturedthattheHadamardproductA·AisaninverseofanM-matrix.TheyhavecheckedhisconjecturewithoutfailureonUltrametricmatricesandinverseofMMA-matrices,Uni-pathicmatricesandtheWillongbyinverseM-matrices.Bo-YingWangetal.in[2]haveinvestigatedTriangularinverseM-matriceswhichareclosedundertheHadamardmultipli-cation.LuLinzheng,SunWeiweiandLiWenin[3]presentedamoregeneralconjecture

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简介：证明0是具有可选服务的M／M／1排队模型的主算子及其共轭算子的几何重数为1的特征值，由此推出该模型的时间依赖解强收敛于该模型的稳态解．

简介：InthispaperaconnectivestudyofGould'sannihilationcoefficientsandAbel-Gontscharoffpolynomialsispresented.ItisshownthatGould'sannihilationcoefficientsandAbel-Gontscharoffpolynomialsareactuallyequivalenttoeachotherundercertainlinearsubstitutionsforthevariables.Moreover,apairofrelatedexpansionformulasinvolvingGontscharoff'sremainderandanewformofitaredemonstrated,andalsoillustratedwithseveralexamples.

简介：InthispaperwestudythesolutionsandstabilityofthegeneralizedWilson’sfunctionalequation∫_Gf(xty)dμ(t)+∫_Gf(xtσ(y))dμ(t)=2f(x)g(y),x,y∈G,whereGisalocallycompactgroup,σisacontinuousinvolutionofGandμisanidempotentcomplexmeasurewithcompactsupportandwhichisσ-invariant.Weshowthat∫_Gg(xty)dμ(t)+∫_Gg(xtσ(y))dμ(t)=2g(x)g(y)iff≠0and∫_Gf(t.)dμ(t)≠0,where[∫_Gf(t.)dμ(t)](x)=∫_Gf(tx)dμ(t).WealsostudysomestabilitytheoremsofthatequationandweestablishthestabilityonnoncommutativegroupsoftheclassicalWilson’sfunctionalequationf(xy)+χ(y)f(xσ(y))=2f(x)g(y)x,y∈G,whereχisaunitarycharacterofG.

简介：ABanachspaceoperatorsatisfiesgeneralizedRakoevi'sproperty(gw)ifthecomplementofitsuppersemiB-WeylspectruminitsapproximatepointspectrumisthesetofeigenvaluesofTwhichareisolatedinthespectrumofT.Inthisnote,wecharacterizehypecyclicandsupercyclicoperatorssatisfyingtheproperty(gw).

简介：群G的一个子群H称为在G中S-拟正规嵌入的,如果对H阶中的每一个素因子p,H的Sylowp-子群也是G的某个S-拟正规子群的Sylowp-子群.利用子群的S-拟正规嵌入性给出了群为p-幂零群及超可解群的一些特征.