简介:这份报纸为最好的制服处理Kolmogorov标准coapproximation和强烈独特的最好的一致coapproximation。在最好的一致近似和最好的一致coapproximation之间的一些关系被获得。一些平等和最好的一致coapproximation被连接。
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简介:LetMbeaconvexChebyshevsubsetofauniformlyconvexanduniformlysmoothBanachspace.ItisprovedthatthemetricprojectionP_MofXontoMisuniformlycontinu-ousoneveryboundedsubsetofX.Moreover,aglobalandexplicitestimateonthemodulusofcontinuityofthemetricprojectionisobtained.
简介:BymeansoftheHermitianmetricandChernconnection,Qiu[4]obtainedtheKoppelman-Leray-Norguetformulafor(p,q)differentialformsonanopensetwithC~1piecewisesmoothboundaryonaSteinmanifold,andundersuitableconditionsgavethesolutionsof■-equationonaSteinmanifold.Inthisarticle,usingthemethodofRangeandSiu[5],undersuitableconditions,theauthorscomplicatedlycalculatetogivetheuniformestimatesofsolutionsof■-equationfor(p,q)differentialformsonaSteinmanifold.
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简介:InthispaperbestapproximationbyreciprocalsoffunctionsofasubspaceUn=span(u1,…,un)satisfyingcoefficientconstraintsisconsidered.Wepresentacharacterizationofbestapproximations.When(u1,…,un)isaDescartessystemanexplicitcharacterizationofbestapproximationsbyequioscillationsisgiven.Existenceanduniquenessresultsareshown.Moreover,thetheoryisappliedtobestapproximaitonsbyreciprocalsofpolynomials.
简介:WeprovethatatopologicalspaceisuniformEberleincompactiffitishomeomorphictoasuperweaklycompactsubsetCofaBanachspacesuchthattheclosedconvexhullcoCofCissuperweaklycompact.WealsoshowthataBanachspaceXissuperweaklycompactlygeneratediffthedualunitballBx*ofX^*initsweakstartopologyisafflnelyhomeomorphictoasuperweaklycompactlyconvexsubsetofaBanachspace.
简介:InthispapertheuniformconvergenceofHermite-FejérinterpolationandGruenwaldtypetheoremofhigherorderonanarbitrarysystemofnodesarepresented.
简介:Inthispaper,weshowthatapositiverecurrentuidqueueisautomaticallyV-uniformlyergodicforsomefunctionV≥1butneveruniformlyergodic.Thisrevealsasimilarityofergodicitybetweenafluidqueueandaquasi-birth-and-deathprocess.AsabyproductofV-uniformergodicity,wederivecomputableboundsontheexponentialmomentsofthebusyperiod.
简介:Inthispaper,weareconcernedwithuniformsuperconvergenceofGalerkinmethodsforsingularlyperturbedreaction-diffusionproblemsbyusingtwoShishkin-typemeshes.Basedonanestimateoftheerrorbetweensplineinterpolationoftheexactsolutionanditsnumericalapproximation,aninterpolationpost-processingtechniqueisappliedtotheoriginalnumericalsolution.Thisresultsinapproximationexhibitsuperconvergencewhichisuniformintheweightedenergynorm.Numericalexamplesarepresentedtodemonstratetheeffectivenessoftheinterpolationpost-processingtechniqueandtoverifythetheoreticalresultsobtainedinthispaper.
简介:Thispapergivesageneralcharacterizationtheoremofabestuniformapproximationofgeneralizedpolynomialhavingmultiplerestrictedrangesofitsderivatives.Thistheoremiswidelyapplicable.Theresultsoncharacterizationinmanystandardapproximations,suchasapproximationwithHermite-Birkhoffinterpolatorysideconditions,multiplecomonotoneapproximation,andapproximationbyalgebraicpolynomialshavingboundedcoefficients,etc.,arespecialcasesofourresult.
简介:Thestudyinthispaperisfocusingontrajectoriesofparticlesintheirrotationalprogressivewaterwavescoexistingwithuniformcurrent.TheparametricequationsofparticletrajectoriesoverarangeoflevelsinaLagrangiantypeofdescriptionaredevelopedanalyticallyviatheEuler-Lagrangetransformation.TheLagrangianwaveperiodofparticlemotiondifferingfromtheEulerianwaveperiodandthemasstransportcanalsobeobtaineddirectly.Thethird-ordersolutionofparticletrajectoryexhibitsthattheydonotmoveinclosedorbitalmotionbutrepresentanetmovementthatdecreasesexponentiallywiththewaterdepth.Uniformcurrentisfoundtohavesignificanteffectonthetrajectoriesanddriftvelocityofgravitywaves.Overall,theinfluenceofincreaseduniformcurrentistoincreasetherelativehorizontaldistancetraveledbyaparticle,aswellasthemagnitudeofthetime-averageddriftvelocityonthefreesurface.Foradversecurrentcases,areversebehaviorisfound.Theobtainedthird-ordersolutionssatisfytheirrotationalconditioncontrastedtotheGerstnerwavesandareverifiedbyreducingtothoseoftwo-dimensionalgravitywavesinLagrangiancoordinates.
简介:Fortheinfinitedelaydifferenceequationsofthegeneralform,twonewuniformasymptoticstabilitycriteriaareestablishedintermsofthediscreteLiapunovfunctionals.
简介:Theproblemconsideredinthispaperistointerpolateavirtualuniformarrayfromarealtwo-dimensionalarraywitharbitrarygeometryviaaninterpolationmatrix.Thekeytothisproblemishowtoarrangethesevirtualsensors.Itisshownthatthevirtualuniformlineararrayshouldhavethesamemain-lobebeam-patternastherealarrayoveranangularsectorofinterest.Simulationresultsarepresentedtoillustratetheapplicationofvirtualarrayindirectionfinding.