简介：对每真实值的凸的功能在一个集合上上面围住的保证连续，集合应该怎么“厚”吗？为在Banach空间E的对称的集合A，这篇论文的答案是：如果并且仅当下列二个条件成立，在A上上面围住的每真实值的凸的功能在E上是连续的：我)跨度A有有限co-dimentions和ii)coA有非空的相对内部。这篇论文也证明子集A在E被包含令人满意如果，在A上上面围住的每真实值的凸的功能在E上是连续的(并且仅当)每真实值线性功能在A上上面跳了在E上是连续的，它也等价于那在A上围住的每真实值的凸的功能在E上是连续的。

简介：ＡＪ－ＣＯＮＶＥＸＳＵＢＳＥＴＷＨＩＣＨＩＳＮＯＴＰＳＨ－ＣＯＮＶＥＸＢｕＳｈａｎｇｑｕａｎ（步尚全）（Ｄｅｐａｒｔｍｅｎｔｏｆａｐｐｌｉｅｄｍａｔｈｅｍａｔｉｃｓ，ＴｓｉｎｇｈｕａＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊｉｎｇ１０００８４，Ｃｈｉｎａ）Ａｂｓ...

简介：Forapolynomialp(z)ofdegreenwhichhasnozerosin|z|<1,Dewanetal.,(K.K.DewanandSunilHans,Generalizationofcertainwellknownpolynomialinequalities,J.Math.Anal.Appl.,363(2010),38–41)establishedzp′(z)+nβ2p(z)≤n2{(β2+1+β2)max|z|=1|p(z)|-(1+β2-β2)min|z|=1|p(z)|},foranycomplexnumberβwith|β|≤1and|z|=1.InthispaperweconsidertheoperatorB,whichcarriesapolynomialp(z)intoB[p(z)]:=λ0p(z)+λ1(nz2)p′(z)1!+λ2(nz2)2p′′(z)2!,whereλ0,λ1,andλ2aresuchthatallthezerosofu(z)=λ0+c(n,1)λ1z+c(n,2)λ2z2lieinthehalfplane|z|≤|z-n/2|.ByusingtheoperatorB,wepresentageneralizationofresultofDewan.Ourresultgeneralizescertainwell-knownpolynomialinequalities.

简介：

简介：Inthispaper,weconstructanoperatorwhichhasalgebraicprecisionofpointedorderandapproximatestofC[0,1]uniformlyon[0,1].

简介：Inthispaper,westudythedierentiabilityofsolutionsontheboundaryforequationsoftypeLλu=θ2uθx2+jxj2λθ2uθy2=f(x;y),whererisanarbitrarypositivenumber.ByintroducingapropermetricthatisrelatedtotheellipticoperatorLλ,weprovethedierentiabilityontheboundarywhensomewell-posedboundaryconditionsaresatisfied.Themaindicultyistheconstructionofnewbarrierfunctionsinthisarticle.

简介：Whenthehigh-pressuregasisexhaustedtothevacuumchamberfromthenozzle,theunderexpandedsupersonicjetcontainedwiththeMachdiskisgenerallyformed.Theeventualpurposeofthisstudyistoclarifytheunsteadyphenomenonoftheunderexpandedfreejetwhenthebackpressurecontinuouslychangeswithtime.ThecharacteristicoftheMachdiskhasbeenclarifiedinconsiderationofthediameterandpositionofitbythenumericalanalysisinthispaper.ThesonicjetoftheexitMachnumberMe=1isassumedandtheaxisymmetricconservationalequationissolvedbytheTVDmethodinthenumericalcalculation.ThediameterandpositionoftheMachdiskdifferswiththeresultsofasteadyjetandtheinfluenceonthecontinuouslychangingofthebackpressureisevidencedfromthecomparisonwiththecaseofsteadysupersonicjet.

简介：

简介：Inthispaper,thesharpdistortiontheoremsoftheFr′echet-derivativetypeforasubclassofbiholomorphicmappingswhichhaveaparametricrepresentationontheunitballofcomplexBanachspacesareestablished,andthecorrespondingresultsoftheabovegeneralizedmappingsontheunitpolydiskinC~narealsogiven.Meanwhile,thesharpdistortiontheoremsoftheJacobideterminanttypeforasubclassofbiholomorphicmappingswhichhaveaparametricrepresentationontheunitballwithanarbitrarynorminC~nareobtained,andthecorrespondingresultsoftheabovegeneralizedmappingsontheunitpolydiskinC~naregotaswell.Thus,someknownresultsinpriorliteraturesaregeneralized.