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简介：在BSDE的发电机g上的Lipschitz和方形的integrable假设下面，如果g是确实同类的在，这篇论文证明那(y，z)并且在y正在减少，那么，为有发电机g的BSDE的片刻不平等一般来说成立，并且如果g是确实同类的并且亚添加剂在(y，z)，那么，为有发电机g的BSDE的Hölder不平等和Minkowski不平等一般来说成立。

简介：Aclassoftrustregionmethodstorsolvinglinearinequalityconstrainedproblemsispropo6edinthispaper.Itisshownthatthealgorithmisofglobalconvergence.Thealgorithmusesaversionofthetwo-sldedprojectionandthestrategyoftheunconstrainedtrustregionmethods.Itkeepsthegoodconvergencepropertiesoftheunconstrainedcaseandhasthemeritsoftheprojectionmethod.Insomesense,ouralgorithmcanberegardedasanextensionandimprovementoftheprojectedtypealgorithm.

简介：InthispaperweprovethataclassoftrustregionmethodspresentedinpartⅠissuperlinearlyconvergent.Numericaltestsarereportedthereafter.Resultsbysolvingasetoftypicalproblemsselectedfromliteratureshavedemonstratedthatouralgorithmiseffective.

简介：Weproveseveralinequaliesforsymmetricpostivesemidefinite,generalMmatricesandinverseM-matriceswhicharegeneralizationoftheclassicalOppenheim'sInequalityforsymmetricpositivesemidefinitematrices.

简介：TheauthorfirstreviewstheclassicalKorninequalityanditsproof.FollowingrecentworksofS.Kesavan,P.Ciarlet,Jr.,andtheauthor,itisshownhowtheKorninequalitycanberecoveredbyanentirelydifferentproof.ThisnewproofhingesonappropriateweakversionsoftheclassicalPoincar'eandSaint-Venantlemma.Infine,bothproofsessentiallydependonacruciallemmaofJ.L.Lions,recalledatthebeginningofthispaper.

简介：ThepurposeofthispaperistogivearelativelyelementaryanddirectproofoftheDeltaInequality,whichplaysaveryimportantroleinthestudyoftheextremalproblemofquasiconformalmappings.

简介："...AswasarguedbymanydisadvantagedstatesduringUNCLOSIII:Theestablishmentofaneconomiczonebenefitingalimitednumberofcoastalstateswouldleadtoinequalitydejureanddefacto....Theinstitutionofaregimeofarighttoparticipatedirectlyorindirectlyintheexplorationandexploration...andadisregardforthatrightwouldonlyfurtherwidentheeconomicdisparities...’-BarbaraKwiatkowska:The200EEZintheNewLawoftheSea,1989.

简介：ItisprovedthattheChebyshevpolynomial_n(x)=T_n(xcosπ/2n),hasthegreatestuniformnormon[-1,1]ofitsthirdderivativeamongtherealpolynomialsofdegreeatmostn,whichareboundedby1in[-1,1]andvanishin-1and1.

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简介：Since1980,Bellmaninequalitywasputforward.Thisarisesattention.In[2,3,4,5]thereweresomegoodresultspresented.InthispaperweshallobtaintheBellmanin-equalityofsimplicialmatrices.

简介：LetMbeanndimensionalcompleteRiemannianmanifoldsatisfyingthedoublingvolumepropertyandanon-diagonalheatkernelestimate.Thenecessary-sufficientconditionfortheSobolevinequality‖f‖q≤Cn,,v,p,q(‖▽f‖p+‖fp)(2≤p＜q＜∞)isgiven.

简介：AbstractInthispaper,anewSQPmethodforinequalityconstrainedoptimizationisproposedandtheglobalconvergenceisobtainedunderverymildconditions.

简介：AnimprovedHardyinequalitywillbeproveninthepresentwork.UsingtheimprovedHardyinequalityandvariationaltechniques,wealsodiscusstheexistenceofnontrivialsolutionforfollowingtheweightedeigenvalueproblem:{△^2υ-μυ/|χ|^4=λυf(χ)，χεΩ，υ=Эυ/Эν=0，χεЭΩ.

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简介：LetP（z）beapolynomialofdegreenandforanycomplexnumbera,letDaP（z）=nP（z）＋（a-z）P′（z）denotethepolarderivativeofthepolynomialP（z）withrespecttoa.Inthispaper,weobtaininequalitiesforthepolarderivativeofapolynomialhavingallzerosinsideacircle.Ourresultsshallgeneralizeandsharpensomewell-knownresultsofTuran,Govil,Dewanetal.andothers.

简介：TheMarcinkiewicz-Zygmundinequalitywithderivativeforanalgebraicpoly-nomialoforder≤N＝（q+1)n-1isestablishedinaBαspace.Asacorollary,theMarcinkiewicz-Zygmundinequalitywithderivativeforanalgebraicpolynomialinapar-ticularOrliczspaceisobtained.

简介：ViolationsofBellinequality,Cauchy-Schwarzinequalityandentanglementinatwo-modethree-levelatomicsystemareinvestigated.Itisshownthattherearesomestates,whichareentangledbutdonotviolateBellinequalityinthissystem.Moreover,therelationsofviolationsofBellinequality,Cauchy-Schwarzinequality,andentanglementarediscussedindetail.

简介：1.IntroductionLetKbeanonemptyclosedconvexsubsetofR"andletF:R"-R"beacontinuousmapping.Avariationalinequalityproblem(VIP)istofindapointx*eKsuchthatThevariationalinequalityproblemmakesitswideappearanceinthestudyofvariousequilibriummodelsineconomics,oper...