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简介：本文用样条函数对GM(1，1)模型的残差序列进行插值拟合，然后作用于二阶线性微分方程，并以此修正原模型，得到一种新的预测模型的数值解．

简介：<正>Inthispaper,weapplythesolitontheorytothecaseofisometricimmersionindifferentialgeometryandobtainafamilyofisometricimmersionsfromMn1（c1）×Mn2（c2）tospaceformsMn（c）byintroducing2-parameterloopalgebra.

简介：本文研究了具有三角形波基函数的Bernstein-Fan值算子的收敛定理和逼近阶估计，并给出了它的算法程序。

简介：应用线性算子的积分群理论证明M/M^B/1排队模型的时间依赖解的存在唯一性，其次推出M/M/1排队模型的时间依赖解的存在唯一性。

简介：ThispapershowsthatforΩ∈H1(Sn-1),MarcinkiewiczintegraloperatorμΩisLp(Rn)boundedfor1＜p＜∞,whichimprovessomeknownresults.

简介：1.IntroductionLetRbethecollectionofallrealnumbers,andZthecollectionofallintegers.Iff1(x)andf2(x)aretwofunctionsinL2(R),theinnerproduct1,f2>isgivenbyWesayf1(x)andf2(x)arebiorthogonal,ifFirstletusdescribeaclassoffunctions(x)and(2)inL2(R)asfollows.Thr...

简介：InthispaperitturnsoutthataBanachlatticeXisorderisomorphictol~1(Γ)forsomenonemptysetΓiffitisaSchurspaceandalltheinfinitelydimensional,separableandclosedidealsofXareorderisomorphic.

简介：ThenumberA（d1,…,dn）ofsolutionsoftheequation0（mod1）,0

简介：运用算子半群理论证明了M/M/1排队模型的l^1动态解的稳定性和正等距性。

简介：设E是任意实Banach空间,T:E→E是Lipschitz的强增生算子.证明了,带误差的Ishikawa迭代序列强收敛到方程Tx=f的唯一解.特别地,还给出了Ishikawa迭代序列的收敛率估计.另一方面,一个相关结果,讨论了E中lipschitz强伪压缩映象的不动点的带误差的Ishikawa迭代序列的收敛性.

简介：ThispapershowsthattheC1-curvedfiniteelementdevelopedbyBernadoningeneralcannotsatisfytheessentialboundaryconditionsonapproximateboundary.Furthermore,amodifiedC1-curvedfiniteelementisgiven,whichiscompatiblewiththeelementofArgyristriangleandcansatisfythehomogeneousDirichletboundaryconditionsonapproximateboundary.

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：设X是实Banach空间,H:X→X是Lipschitz算子,T:X→X是一致连续的且值域有界,H+T是强增生的,则Mann和Ishikawa迭代程序几乎稳定地强收敛到方程Hx+Tx=f的唯一解.

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.

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