简介：Inthispapertheconceptofpositivedefinitebilinearmatrixmomentfunctional.actingonthespaceofallthematrixvaluedcontinuousfunctionsdefinedonaboundedinterval[a,b],isintroduced.ThebestapproximationmatrixproblemwithrespecttosuchafunctionalissolvedintermsofmatrixFourierseries.BasicpropertiesofmatrixFourierseriessuchastheKiemann-Lebesguematrixpropertyandthebessel-parsevalmatrixinequalityareproved.Theconceptoftotalsetvjithrespecttoapositivedefinitematrixfunctionalisintroduced,andthetotallityofanorthonormalsequenceofmatrixpolynomialswithrespecttothefunctional,isestablished.

简介：Thepresentpaperprovesthatiff(x)∈C[0,1],changesitssignexactlyltimesat0

简介：结果的一些归纳由S.P证明了。Singh[J。理论约25(1979)，8990]在凸的公制的空格被介绍。证明的结果在这个题目上包含几已知的结果。

简介：InthisnoteweobtaingeneralizationofwellknownresultsofcarboneandConti,SehgalandSinghandTanimotoconcerningtheexistenceofbestapproximationandsimultaneousbestapproximationofcontinuousJunctionsfromthesetupofanormedspacetothecaseofaHausdorfflocallyconvexspace.

简介：Inanabstractsetup,wegetstrongtypeinequalitiesinL~(p+1)byassumingweakorextra-weakinequalitiesinOrliczspaces.Forsomeclassesoffunctions,thenumberpisrelatedtoSimonenkoindices.WeapplytheresultstogetstronginequalitiesformaximalfunctionsassociatedtobestΦ-approximationoperatorsinanOrliczspaceL~Φ.

简介：Inthispaper,weconsidertheapproximationproblemofstochasticintegralwithrespecttotwo-parameterWienerprocess.Wefirstintroduceakindofsymmetricintegralandproveitobeysthechainrule.Thenweapplyanintegralformulaofboundedvariationfunctionswithtwovariablestoshowtheapproximationtheoremofstochasticintegralintheplane.Inparticular,weprovethatthesymmetricstochasticintegralisstablewhenthelimitistakeninthesenseofL~2convergence.

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简介：Usingarecentresultregardingthefixedpointsofmultivaluedmappings,theexistenceofinvariantbestsimultaneousapproximationinchainablemetricspaceisproved.

简介：Anewmethodologyforprecisegeoiddeterminationwithfinestlocaldetailsbasedonellipsoidalapproximationispresented.Thismethodologyisformulatedthroughthe'fixed-freetwo-boundaryvalueproblem'basedontheobservableofthetypemodulusofgravityintensity,gravityaccelerationandgravitypotentialattheGPSpositionedstations,withsupportoftheknowngeoid'spotentialvalue,W0.

简介：这篇论文涉及源于分子的成像的区域的一个提出病的问题并且作为BLT被知道问题。用Tikhonov规则化技术，一个二次的优化问题能被提出。我们为调整优化问题的有限元素近似提供改进错误估计。一些数字例子被举表明我们的理论结果。

简介：在这份报纸，我们讨论夸张正切功能的一些分析性质并且与夸张正切激活函数估计神经网络操作符的一些近似错误。第一，为夸张正切功能的统一的分区的一个方程被给。然后，二种伪插值类型神经网络操作符分别地被构造到近似univariate和bivariate函数。另外，近似的错误借助于功能的连续性的模量被估计。而且为有高顺序衍生物的接近的功能，构造操作员的近似错误被估计。

简介：Bernstein-Kantorovichquasi-interpolantsKn(2r-1)(f,x)areconsideredanddirect,inverseandequivalencetheoremswithDitzian-Totikmodulusofsmoothnessω2r(f,t)p(1≤p≤+∞)areobtained.

简介：InthispaperweproposetheqanaloguesofmodifiedBaskakov-Sz′aszoperators.Weestimatethemomentsandestablisheddirectresultsintermofmodulusofcontinuity.Anestimatefortherateofconvergenceandweightedapproximationpropertiesoftheqoperatorsarealsoobtained.

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简介：Multidisciplinaryfeasiblemethod(MDF)isconventionalmethodtomultidisciplinaryoptimization(MDO)andwell-understoodbyusers.Itreducesthedimensionsofthemultidisciplinaryoptimizationproblembyusingthedesignvariablesasindependentoptimizationvariables.However,ateachiterationoftheconventionaloptimizationprocedure,multidisciplinaryanalysis(MDA)isnumerouslyperformedthatresultsinextremeexpenseandlowoptimizationefficiency.TheintrinsicweaknessofMDFisduetothetimesthatitloopfixed-pointiterationsinMDA,whichdriveustoimproveMDFbybuildinginexpensiveapproximationsassurrogatesforexpensiveMDA.AnsimpleexampleispresentedtodemonstratetheusefulnessoftheimprovedMDF.ResultsshowthatasignificantreductioninthenumberofmultidisciplinaryanalysisrequiredforoptimizationisobtainedascomparedwithoriginalMDFandtheefficiencyofoptimizationisincreased.

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简介：让{Xt≥1}一个动人的平均过程被在哪儿定义{akk≥0}是实数的一个序列并且{t，∞

简介：在现在的纸，我们学习几个复杂变量的分析函数的多项式近似。几个复杂变量的分析功能的概括类型的描述以近似和插值错误被获得了。

简介：Thispaperanalysesthelocalbehaviorofthesimpleoff-diagonalbivariatequadraticfunctionapproximationtoabivariatefunctionwhichhasagivenpowerseriesexpansionabouttheorigin.Itisshownthatthesimpleoff-diagonalbivariatequadraticHermite-Padéformalwaysdefinesabivariatequadraticfunctionandthatthisfunctionisanalyticinaneighbourhoodoftheorigin.NumericalexamplescomparetheobtainedresultswiththeapproximationpowerofdiagonalChisholmapproximantandTaylorpolynomialapproximant.

简介：ThispaperdevelopsanewlowerboundmethodforPOMDPsthatapproximatestheupdateofabeliefbytheupdateofitsnon-zerostates.ItusestheunderlyingMDPtoexploretheoptimalreachablestatespacefrominitialbeliefandselectactionsduringvalueiterations,whichsignificantlyacceleratestheconvergencespeed.Also,analgorithmwhichcollectsandprunesbeliefpointsbasedontheupperandlowerboundsispresented,andexperimentalresultsshowthatitoutperformssomeofthestate-of-artpoint-basedalgorithms.