简介：LetZbeatopologicalspaceandmappingA2:Z→B(H)withclosedrangeR(A2)becontinuous.SomenecessaryandsufficientconditionsofthecontinuityofM-PinversesAz+aregivenin[1],[2].ItisoneofthemthatAZ+iscontinuousifanaonlyifAZ+islocallybounded.Inthispaper,wediscussthefollowingproblem:iflimAn=A0inB(H)and||An+||isunbounded(i.e.theabovenecessaryandsufficientconditionfails),whathinHwillmaketheequations:limAm+h=A0+horw-limAn+h=A0+hbetrue.Forthispurposethreetheoremsandanerrorestimationaregiveninthispaper.

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简介：引入了cs^*双网的概念，讨论了x0空间与具有确定cs^*双网空间之间的关系，推广了[2，4]中的相应结论。

简介：ＥＸＩＳＴＥＮＣＥＯＦＷＥＡＫＳＯＬＵＴＩＯＮＳＯＦ２－ＤＥＵＬＥＲＥＱＵＡＴＩＯＮＳＷＩＴＨＩＮＩＴＩＡＬＶＯＲＴＩＣＩＴＹω＿０∈Ｅ（ｌｏｇ￣＋Ｌ）￣α（α＞０）ＪＩＵＱＵＡＮＳＥＮ（ＩｎｓｔｉｔｕｔｅＯｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ｔ...

简介：考虑方程其中a，b为任意实常数,τ为正常数．本文在复数域上求得了方程（*）全部根的精确分布．在文[1]和[2]中应用Laplace变换法，得到了滞后型方程初值问题的形式解公式下：其中x（t）为初值问题的解，这里H（θ）为Heaviside函数．方程（*）为初值问题（E）中方程的特征方程．应用本文结果于形式解公式（1．1），可求得初值问题（E）的精确解．篇幅所限，此问题另文讨论．

简介：InthispaperwestudytheapproximationonsetoffullmeasureforfunctionsinSobolevspacesL_m~1(R~n)(m∈N)byBochner-RieszmeansofconjugaleFourierintegralsbelowthecriticalindex.AtheoremconcerningthepreciseapproximationorderswithrelationtothenumbermofspaceL_m~1(R~n)andtheindexofBochner-Rieszmeansisobtained.

简介：Inthispaperasimulatedannealing(SA)algorithmispresentedforthe0/1mul-tidimensionalknapsackproblem.Problem-specificknowledgeisincorporatedinthealgorithmdescriptionandevaluationofparametersinordertolookintotheperfor-manceoffinite-timeimplementationsofSA.ComputationalresultsshowthatSAper-formsmuchbetterthanageneticalgorithmintermsofsolutiontime,whilsthavingamodestlossofsolutionquality.

简介：Inthisnotesomerecurrencerelationsforthedimensionsofthesplinespacesonsocalled0-starsarepresented.

简介：Analgorithmofcontinuousstage-spaceMCMCmethodforsolvingalgebraequationf(x)=0isgiven.Itisavailableforthecasethatthesignoff(x)changesfrequentlyorthederivativef'(x)doesnotexistintheneighborhoodoftheroot,whiletheNewtonmethodishardtowork.Letnbethenumberofrandomvariablescreatedbycomputerinouralgorithm.Thenafterrn=O(n)transactionsfromtheinitialvalueXo,X^*canbegotsuchthat[f(x^*)|＜e-^cm|f(xo)|bychoosingsuitablepositiveconstantc.Anillustrationisalsogivenwiththediscussionofconvergencebyadjustingtheparametersinthealgorithm.

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：Aroutingtreeforasetoftasksisadecisiontreewhichassignsthetaskstotheirdestinationsaccordingtothefeaturesofthetasks.Aweightedroutingtreeisonewithcostsattachedtoeachlinkofthetree.Linksofthesamefeaturehavethesamecost.Itisprovedthattheproblemoffinding?routingtreeoftheminimumcostforagivensetoftasksoftwofeaturesisNP-complete.

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

简介：我们证明复杂c0上的每个2-homogeneous多项式有一个唯一的标准保存扩展到它的双性人双ℓ∞。

简介：SupposethatCisthecomplexplaneandkisanon-negativeinteger.DefinefunctionsNk-(x)=|x|kifkisevenandNk(x)=x|x|k-1ifkisodd.SomeapproximationpropertiesofNk-(x)’sisdiscussedandanewexampleofaTchebycheffsystemisgivenout.

简介：首先对几乎处处有界的随机线性算子的Co-半群{B（t）：t≥0）利用L^0-范数的转化技巧给出一个特殊的性质．然后，基于这一性质，对与{B（t）：t≥0}的随机无穷小生成元相关的一些重要的性质进行了研究，并改进了近期文献中一些已知的结果。

简介：在通常情况下,对于任意的通道结构Γ的理想秘密共享方案不存在.然而,如果|Γ0|n成立,那么通道结构Γ便存在一个理想的秘密共享方案,其中Γ0是Γ的基,n是参与者总量.

简介：Inthispaper,weresearchtheMntzrationalapproximationoftwokindsofspecialfunctionclasses,andgivethecorrespondingestimatesofapproximationratesoftheseclasses.

简介：Inthispaperwewillshowthatifanapproximationprocess{Ln}n∈Nisshapepreservingrelativetotheconeofallk-timesdifferentiablefunctionswithnon-negativek-thderivativeon[0,1],andtheoperatorsLnareassumedtobeoffiniterankn,thentheorderofconvergenceofDkLnftoDkfcannotbebetterthann2evenforthefunctionsxk,xk+1,xk+2onanysubsetof[0,1]withpositivemeasure.Takingintoaccountthisfact,wewillbeabletofindsomeasymptoticestimatesoflinearrelativen-widthofsetsofdifferentiablefunctionsinthespaceLp[0,1],p∈N.

简介：<正>LetD={z∈:|z|<1}andφbeanormalfunctionon[0,1).Forp∈(0,1)suchafunctionφisusedtodefineaBergmanspaceA~p(φ)onDwithweightφ~p(|·|)/(1-|·|~2).Inthispaper,thedualspaceofA~p(φ)isgiven,fourcharacteristicsofCarlesonmeasureonA~p(φ)areobtained.Moreover,asanapplication,threesequenceinterpolationtheoremsinA~p(φ)arederived.

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