简介:LetT:X→XbeanAxiomAdiffeomorphism,mtheGibbsstateforaHldercontinuousfunctionɡ.Assumethatf:X→R~disaHldercontinuousfunctionwith∫_X~(fdm)=0.Ifthecomponentsoffarecohomologouslyindependent,thenthereexistsapositivedefinitesymmetricmatrixσ~2:=σ~2(f)suchthatS~fn√nconvergesindistributionwithrespecttomtoaGaussianrandomvariablewithexpectation0andcovariancematrixσ~2.Moreover,thereexistsarealnumberA>0suchthat,foranyintegern≥1,Π(m*(1√nSfn),N(0,σ~2)≤A√n,wherem*(1√nS~fn)denotesthedistributionof1√nS~fnwithrespecttom,andΠistheProkhorovmetric.
简介:ThenonconformingWilson’sbrickclassicallyisrestrictedtoregularhexahedralmeshes.LesaintandZlamal[6]relaxedthisconstraintforthetwo-dimensionalanalonueofthiselementInthispaperweextendtheirresultstothreedimensionsandprovethatandwhereuistheexactsolution,u_histheapproximatesolutionandistheusualnormfortheSobolevspaceH~1(?).
简介:1.IntroductionTherehasbeenalotofliterature(see[1]--[61and[12])ontheparalleliterativemethodsforthelarge--scalesystemoflinearequationsinthesenseofmatrixmultisplittingsincethepioneeringworkofO’LearyandWhite(see[l])waspublishedin1985.Oneofthemostrecentre...
简介:为在间隔上可测量的某局部地围住的功能f[0,)我们在那些点x估计了修改Szasz-Mirakyan操作员Mnf的集中的率[0,)在哪个站在一起的限制f(?敢慨楶畯?景琠敨洠汵楴瘭牡慩整?牥獮整湩瀠汯湹浯慩獬??湯琠敨搠搭浩湥楳湯污猠浩汰硥匠?d
简介:Theauthorsgiveaproofoftheconvergenceofthesolutionoftheparabolicapproximationu^εt+divf(x,t,u^ε)=ε△u^εtowardstheentropicsolutionofthescalarconservationlawut+divf(x,t,u)=0inseveralspacedimensions.Foranyinitialconditionu0∈L^∞(R^N)andforalargeclassofHuxf,theyalsoprovethestrongconvergeinanyL^plocspace,usingthenotionofentropyprocesssolution,whichisageneralizationofthemeasure-valuedsolutionsofDiPerna.
简介:Inthispaper,someapproximationformulaeforaclassofconvolutiontypedoublesingularintegraloperatorsdependingonthreeparametersofthetype(Tλf)(x,y)=∫ba∫baf(t,s)Kλ(t-x,s-y)dsdt,x,y∈(a,b),λ∈A[0,∞),(0.1)aregiven.HerefbelongstothefunctionspaceL1(〈a,b〉2),where〈a,b〉isanarbitraryintervalinR.Inthispaperthreetheoremsareproved,oneforexistenceoftheoperator(Tλf)(x,y)andtheothersforitsFatou-typepointwiseconvergencetof(x0,y0),as(x,y,l)tendsto(x0,y0,l0).Incontrasttopreviousworks,thekernelfunctionsKl(u,v)don'thavetobe2p-periodic,positive,evenandradial.Ourresultsimproveandextendsomeofthepreviousresultsof[1,6,8,10,11,13]inthreedimensionalframeandespeciallytheveryrecentpaper[15].
简介:Inthepresentpaper,weproposetheqanalogueofSza′sz-Beta-Stancuoperators.Byestimatethemoments,weestablishdirectresultsintermsofthemodulusofsmoothness.Investigatetherateofpoint-wiseconvergenceandweightedapproximationpropertiesoftheqoperators.Voronovskajatypetheoremisalsoobtained.Ourresultsgeneralizeandsupplementsomeconvergenceresultsoftheq-Sza′sz-Betaoperators,thustheyimprovetheexistingresults.
简介:ThispaperisconcernedwithnumericalmethodsforAmericanoptionpricing.Weemploynumericalanalysisandthenotionofviscositysolutiontoshowuniformconvergenceoftheexplicitdifferenceschemeandthebinomialtreemethod.Wealsoprovetheexistenceandconvergenceoftheoptimalexerciseboundariesintheaboveapproximn.tions.
简介:Inthispaper,weshallgiveanAbeltypetheoremofJacobiseriesandthenbasedonitdiscussasymptoticexpressionsneartheellipseofconvergenceofJacobiseriesincomplexplane.
简介:Inthispaper,usingLin'sintegralidentitytechnique,weprovetheoptimaluniformconvergenceθ(N_x~(-2)In~2N_x+N_y~(-2)In~2N_y)intheL~2-normforsingularlyper-turbedproblemswithparaboliclayers.Theerrorestimateisachievedbybilinearfi-niteelementsonaShishkintypemesh.HereN_xandN_yarethenumberofelementsinthex-andy-directions,respectively.Numericalresultsareprovidedsupportingourtheoreticalanalysis.
简介:这份报纸基于方向性的差别为有限的点方法使一些成为数学分析。由用仅仅为一阶的计算和秒顺序的五个附近的点的数字公式的明确的表达式的优点方向性的differentials,新方法论被介绍给拉普拉斯算符操作符在2D上定义的discretize散布的点分布。有很弱的限制的一些足够的条件被获得,在哪个下面结果的计划是积极计划。作为后果,分离最大的原则被证明,并且第一命令O(h)的会聚的结果为在散布的点分布上定义的节的答案被完成,它能在一致的点分布上被提起直到O(h2)。
简介:Letbethecollectionofm-timescontinuouslydifferentiableprobabilitydensitiesfonRdsuchthat丨Daf(x1)-Daf(x2)丨≤M‖x1-x2‖βforx1,x2∈Rd,[a]=m,whereDadenotesthedifferentialoperatordefinedbyDa=([a])/(x1a…xdad).UnderratherweakconditionsonK(x),thenecessaryandsufficientconditionsforsup丨n(x)-f(x)丨=0(((logn/n)λ/(d+3λ),λ=m+β,f∈arethat∫xaK(xi)dx=0for0<[a]≤m.Finallytheconvergencorateatapointisgiven.
简介:Underthehypothesesthatthesecond-orderandthird-orderderivativesofafunctionarebounded,anestimateoftheradiusoftheconvergenceballofOstrowski-Traub’smethodisobtained.Anerroranalysisisgivenwhichmatchestheconvergenceorderofthemethod.Finally,twoexamplesareprovidedtoshowapplicationsofourtheorem.