简介：Letf（x）∈C[-1,1],pn*（x）bethebestapproximationpolynomialofdegreentof（x）.G.Iorentzconjecturedthatifforalln,p2n*（x）=p2n+1*（x）,thenfiseven;andifp2n+1*（x）=p2n+2*（x）,po*（z）=0,thenfisodd.Inthispaper,itisprovedthat,undertheL1-norm,theLorentzconjectureisvalidconditionally,i.e.if（i）（1-x2）f（x）canbeextendedtoanabsolutelyconvergentTehebyshevsories;（ii）foreveryn,f（x）-p2n+1*（x）hasexactly2n+2zeros(or,inthearcondsituation,f（x）-p2n+2*（x）hasexaetly2n+3zeros),thenLorentzconjectureisvalid.

简介：A.simplicialmesh(triangulation)isconstructedthatgeneralizesthetwo-dimensional4-directionmeshtoR~m.Thismesh,withsymmetric,shift-invariantvaluesatthevertices,isshowntoadmitaboundedC~1interpolantifandonlyifthealternatingsumofthevaluesattheverticesofany1-cubeiszero.Thisim-pliesthaiinterpolationattheverticesofanm-dimensional,simplicialmeshbyaC~1piecewisepolynomialofdegreem+1withonepiecepersimplexisunstable.

简介：让(Y，d，dl)\left({\mathcal{Y}，d，d\lambda}\right)(n，|

简介：在这篇文章中，我们研究在deSitter空间中具有非负常值的第r个平均曲率的紧致的类空超曲面。我们证明了在合适的条件下紧致的类空超曲面是全脐的。

简介：SupposethatwewanttoapproximatefC[0,1]bypolynomialsinPn,usingonlyitsvaluesonXn={i/n,0≤i≤n}.ThiscanbedonebytheLagrangeinterpolantLnfortheclassicalBernsteinpolynomialBnf.But,whenntendstoinfinity,LnfdoesnotconvergetofingeneralandtheconvergenceofBnftofisveryslow.WedefineafamilyofoperatorsBkn,n≥k,whichareintermediateonesbetweenB（0）n=B1n=BnandBnn=Ln,andwestudysomeoftheirproperties.Inparticular,weproveaVoronovskaja-typetheoremwhichassertsthatBknf-f=0(n-[（k+2）/2)forfsufficientlyregular.Moreover,B（k）nfusesonlyvaluesofBnfanditsderivatiesandcanbecomputedbyDeCasteljauorsubdivisionalgorithms.

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：Ｃ１，α－ＰＡＲＴＩＡＬＲＥＧＵＬＡＲＩＴＹＦＯＲＮＯＮＬＩＮＥＡＲＥＬＬＩＰＴＩＣＳＹＳＴＥＭＳＴａｎｚｈｏｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＸｉａｍｅｎＵｎｉｖｅｒｓｉｔｙ，Ｘｉａｎｍｅｎ３６１００５，Ｃｈｉｎａ．）Ａｂ?..

简介：Inthispaperwehavestudiedn-persongameproblemsof(0,1)normalizationandcomposition.Alsowehaveconcernedmultilinearextensionsofcompositiongamesandespecialgames[5-7,9-14].AswehavestudiedShapleyvalue[1-4,15],wewillgivesomeproofsofthetheorems.

简介：性质awc1被许多作者使用由弱Chebyshevsubspaces的元素有关近似获得结果。在这份报纸，作者在细节学习这个性质，由收集有关它并且由发现新的散布结果。

简介：TwoestimatesusefulinapplicationsareprovedfortheFouriertransforminthespaceL2(X),whereXasymmetricspace,asappliedtosomeclassesoffunctionscharacterizedbyageneralizedmodulusofcontinuity.

简介：Ｋ１，ｋ┐ＦＡＣＴＯＲＩＺＡＴＩＯＮＯＦＢＩＰＡＲＴＩＴＥＧＲＡＰＨＳＤＵＢＥＩＬＩＡＮＧＡｂｓｔｒａｃｔ．Ｉｎｔｈｉｓｐａｐｅｒ，ａｎｅｃｅｓｓａｒｙｃｏｎｄｉｔｉｏｎｆｏｒａｂｉｐａｒｔｉｔｅｇｒａｐｈλＫｍ，ｎｔｏｂｅＫ１，ｋ－ｆａｃｔｏｒｉｚ...

简介：

简介：关于GI／G／1排队系统队长的极限分布存在的一个充分条件被建立．

简介：S.M.LozinskiiprovedtheexactconvergencerateatthezeroofLagrangeinterpolationpolynomialsto|x|basedonequidistantnodesin[-1,1].In2000,M.RevergeneralizedS.M.Lozinskii'sresultto|x|α(0≤α≤1).Inthispaperwewillpresenttheexactrateofconvergenceatthepointzerofortheinterpolantsof|x|α(1＜α＜2)..

简介：

简介：由T表示复杂射影的花托，我们能在ℂℙ5嵌入表面ℂℙ1×T。在这篇论文，我们计算这表面的分支曲线的补充的基本的组。因为嵌入不是“足够宽大”的，嵌入的表面不属于基本的组是几乎可解决的表面的班：为这些组成立为的一个性质“足够宽大”嵌入钟声。在另一方面，作为它是为非简单地连接的表面的这计算的第一个例子，这个组的结构(是出现在这篇论文)关于任何表面的那些基本的组的结构产生conjecture的延期。

简介：Anticipatedbackwardstochasticdifferentialequation(ABSDE)studiedthefirsttimein2007isanewtypeofstochasticdifferentialequations.Inthispaper,weestablishageneralcomparisontheoremforABSDEs.

简介：Radialfunctionshavebecomeausefultoolinnumericalmathematics.Onthespheretheyhavetobeidentifiedwiththezonalfunctions.Weinvestigatezonalpolynomialswithmassconcentrationatthepole,inthesenseoftheirL1-normisattainingtheminimumvalue.Suchpolynomialssatisfyacomplicatedsystemofnonlineare-quations(algebraicifthespacedimensionisodd,only)andalsoasingulardifferentialequationofthirdorder.Theexactorderofdecayoftheminimumvaluewithrespecttothepolynomialdegreeisdetermined.Byourresultswecanprovethatsomenodalsystemsonthesphere,whicharedefinedbyaminimum-property,areprovidingfundamentalmatriceswhicharediagonal-dominantorboundedwithrespecttothe∞-norm,atleast,asthepolynomialdegreetendstoinfinity.

简介：<正>Inthisnote.wewillshowthatnononuniformlatticeofSO（3,1）canbethefundamentalgroupofaquasi-compactKhlermanifold.Thus,combiningwiththeresultin[1].onegetsthatanonuniformlatticeinSO（n,1）（n≥3）cannotbeπ1ofanyquasi-compactKhlerianmanifold.

简介：Inthispaper,wegetW1,p(Rn)-boundednessfortangentialmaximalfunc-tionandnontangentialmaximalfunction,whichimprovesJ.Kinnunen,P.LindqvistandTananka’sresults.