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简介：Inthispaper,anotionofnegativesidep-mixing(p-mixing)whichcanberegardedasasymptoticnegativeassociationisdefined,andsomeRosenthaltypeinequalitiesforp-mix-ingrandomfieldsareestablished.Thecompleteconvergenceandalmostsuresummabilityontheconvergencerateswithrespecttothestronglawoflargenumbersarealsodiscussedforp--mixingrandomfields.Theresultsobtainedextendthosefornegativelyassociatedsequencesandp'-mixingrandomfields.

简介：在这份调查报纸，我们在边界元素方法(BEM)的hp版本的最近的开发报导。作为我们认为弱单个的模型问题和平面、开的表面上的第一种类型的hypersingular积分方程。我们证明Galerkin答案(在几何网孔上与hp版本计算了)向不可分的方程的准确答案快指数地收敛。一个hp适应的算法被给，hp版本BEM的实现为性恶的边界元素僵硬矩阵和有效preconditioners的选择被讨论。我们也为在接触条件仅仅在Gauss-Lobatto点的分离集合上被强制的线性弹性解决Signorini接触问题评论hp版本BEM的使用。数字结果被介绍它加重理论结果。[从作者抽象]

简介：让A是现代派的pSteenrod代数学和S在p局部性的范围光谱，在p是一个奇怪的素数的地方。在2001，林在被代表由的范围的稳定的homotopy检测了一个新家庭(b_oh_n-h_1b_(n-1))∈Ext_A~(3，(p~n+p)q)(Z_p，Z_p)在亚当斯光谱顺序。同时，他证明了那i_*(h_1h_n)∈Ext_A~(2，(p~n+p)q)(H~*M，Z_p)是在亚当斯的一个永久周期光谱顺序并且收敛到重要元素ξ_n∈π_((p~n+p)q-2)M。在这糊，与林一起“s结果，我们使用亚当斯光谱顺序和5月光谱检测homotopy元素jj的一个新重要家庭的顺序”j酒吧γ~si酒吧i“在范围的稳定的homotopy组的ξ_n。新的具有度p~nq+sp~2q+spq+(s-2)q+s-6并且被h_1h_nγ_s在E_2~代表直到非零数量(s+2，*)亚当斯的术语光谱顺序，在此p≥7，q=2(p-1)，n≥4和3≤s

简介：Thepurposeofthispaperistointroduceasplitgeneralizedmixedequilibriumproblem(SGMEP)andconsidersomeiterativesequencestofindasolutionofthegeneralizedmixedequilibriumproblemsuchthatitsimageunderagivenboundedlinearoperatorisasolutionofanothergeneralizedmixedequilibriumproblem.Weobtainsomeweakandstrongconvergencetheorems.

简介：在这份报纸，我们建议二种不同标准并且使用他们判定Durand紧排方法的集中并且把获得的结果与另外的方法作比较。[从作者抽象]

简介：Thispapergivesthedegreeofapproximationoffunctionofboundedvariationbythepartialsumsofcon-jngateLegendre-FourierSeries.

简介：这份报纸与不明确的运输速度涉及分级的运输方程的起始边界的价值问题。它在我们的更早的工作被表明在随机的空格的准确解决方案的那整齐(或参量的空格)能被给定的数据决定。接着，这些整齐结果对为高顺序的集中分析关键数字方法。在这个工作，我们将证明光谱在某整齐下面的随机的Galerkin和搭配方法的集中结果或假设。因为我们的主要目标是调查discretizations在随机的空间介绍的错误，为解决相应确定的问题的错误将被忽视。

简介：Inthisstudy,weuseinexactnewtonmethodstofindsolutionsofnonlinear,nondifferenti-ableoperatorequationsonBanachspaceswithaconvergencestructure.ThistechniqueinvolvestheintroductionofageneralizednormasanoperatorfromalinearspaceintoapartiallyorderedBanachspace.Inthiswaythemetricpropertiesoftheexaminedproblemcanbeanalyzedmoreprecisely.Moreover,thisapproachallmvsustoderivefromthesametheorem,ontheonehand,semi-localresultsofKantorovich-type,andontheotherhand,globalresultsbasedonmono-tonicityconsiderations.Furthermore,iveshowthatspecialcasesofourresultsreducetothecorrespondingonesalreadyintheliterature.Finally>ourresultsareusedtosolveintegralequationsthatcannotbesolvedwithexistingmethods.

简介：Therearemanyacceleratingconvergencefactors(ACFs)forlimitperiodiccontinuedfractionK(an/1)(an→a≠0).Inthispaper,somecharacteristicsandcomparativetheoremsareobtainedonACFs.TworesultsaregivenformostfrequentlyusedACFs.

简介：Inthispaperwestudytheconvergenceofadaptivefiniteelementmethodsforthegeneralnon-affineequivalentquadrilateralandhexahedralelementson1-irregularmesheswithhangingnodes.Basedonseveralbasicingredients,suchasquasi-orthogonality,estimatorreductionandD(o|¨)flermarkingstrategy,convergenceoftheadaptivefiniteelementmethodsforthegeneralsecond-orderellipticpartialequationsisproved.OuranalysisiseffectiveforallconformingQ_melementswhichcoversboththetwo-andthree-dimensionalcasesinaunifiedfashion.

简介：Thispaperpresentsatrustregiontwo-phasemodelalgorithmforsolvingtheequalityandboundconstratinednonlinearoptimizationproblem.Aconceptofsubstationarypointisgiven.Undersutableassumptions.theglobalconvergenceofthisalgorithmisprovedwithoutassumingthelinearindependenceofthegradientofactiveconstraints.Anumericalexampleisalsopresented.

简介：Inthepaper,thestrongconvergencepropertiesfortwodifferentweightedsumsofnegativelyorthantdependent(NOD)randomvariablesareinvestigated.Let{Xn,n≥1}beasequenceofNODrandomvariables.Theresultsobtainedinthepapergeneralizethecorrespondingonesfori.i.d.randomvariablesandidenticallydistributedNArandomvariablestothecaseofNODrandomvariables,whicharestochasticallydominatedbyarandomvariableX.Asabyproduct,theMarcinkiewicz-ZygmundtypestronglawoflargenumbersforNODrandomvariablesisalsoobtained.

简介：1.IntroductionAssumethatwearefindingtheminimizerofthefollowingunconstrainedoptimizationproblemminf(x),(1.1)acReandassumethecurrentpointisxk’TOcalculatexk+1fromxkbyalinesearchmethod,thefollowingiterationXk+1~Xk+Akpk,k~1,2,’’’(1.2)isapplied.IntheBFGSal...

简介：Mathematicalprogramswithcomplementarityconstraints(MPCC)isanimportantsubclassofMPEC.ItisanaturalwaytosolveMPCCbyconstructingasuitableapproximationoftheprimalproblem.Inthispaper,weproposeanewsmoothingmethodforMPCCbyusingtheaggregationtechnique.AnewSQPalgorithmforsolvingtheMPCCproblemispresented.Ateachiteration,themasterdirectioniscomputedbysolvingaquadraticprogram,andthereviseddirectionforavoidingtheMaratoseffectisgeneratedbyanexplicitformula.Asthenon-degeneracyconditionholdsandthesmoothingparametertendstozero,theproposedSQPalgorithmconvergesgloballytoanS-stationarypointoftheMPECproblem,itsconvergencerateissuperlinear.Somepreliminarynumericalresultsarereported.

简介：The(Nrlund)logarithmicmeansoftheFourierseriesoftheintegrablefunctionfis:1/l_nsumfromk=1ton-1S_k(f)/(n-k),wherel_n:=sumfromk=1ton-11/kInthispaperwediscusssomeconvergenceanddivergencepropertiesofthislogarithmicmeansoftheWalsh-Fourierseriesoffunctionsintheuniform,andintheL~1Lebesguenorm.Amongothers,asanapplicationofourdivergenceresultswegiveanegativeanswertoaquestionofMóriczconcerningtheconvergenceoflogarithmicmeansinnorm.

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简介：让G是在有K-quasicon正式边界的复杂飞机的一个有限领域，0是的z在G和p的一个任意的固定的点>0。让(z)是与半径r的到磁盘上的从G的保角的印射0>0并且在起源集中了0，使正常化由(z0)=0并且(z0)=1。让我们给了$\varphi_p\left(z\right)：=\int_{x_0}^x{\left[{\phi\left(\zeta\right)}\right]^{2/8}}d\zeta$，并且让n，p(z)是为对的度n的概括Bieberbach多项式(G，z0)那最小化不可分的$\iint\limits_c{\left|{\varphi_p\left(z\right)-P_x^1(z)}\right|^pd0_x}$在度n的所有多项式的班$\mathop\prod\limits_n$并且令人满意条件Pn(z0)=0并且Pn(z0)=1。在我们证明概括Bieberbach多项式n的一致集中的这个工作，p(z)到在$p的情况下的$\barG$上的p(z)>2-\frac{{K^2+1}}{{2K^4}}$。

简介：Thequasilinearhyperbolicequationwithnonlineardampingisconsideredinthispaper,anewasymptoticprofileforthesolutiontotheequationisobtainedbysuitablychoosingtheinitialdataofthecorrespondingparabolicequation,theconvergenceratesofthenewprofilearebetterthanthatobtainedbyNishihara(1997,J.DifferentialEquations137,384-395)andH.-J.Zhao(2000,J.DifferentialEquations167,467-494).