简介:Thedualrandommodelsaboutthelifeinsuranceandsocialpensioninsurancehavereceivedconsiderableattentionintherecentarticlesonactuarialtheoryandapplications.Thispaperdiscussesageneralkindofincreasingannuitybasedonitsforceofinterestaccumulationfunctionasageneralrandomprocess.Thedualrandommodelofthepresentvalueofthebenefitsoftheincreasingannuityhasbeenset,andtheirmomentshavebeencalculatedundercertainconditions.
简介:Thepurposeofthispaperistopresentsomedualpropertiesofdualcomodule.Itturnsoutthatdualcomodulehasuniversalproperty(cf.Theorem2).Since(()*,()°)isanadjointpair(cf.Theorem3),somenicepropertiesoffunctor()°areobtained.FinelyTheoram4providesthatthecotensorproductisthedualofthetensorproductby(MAN)°≌M°□A.N°.Moreover,theresultHomA(M,N)≌Coma.(N°,M°)isprovedforfiterelatedmodulesM,NoverarefiexivealgebraA.
简介:在这篇论文,我们介绍同类的Besov类型空格MiloudAssal电子邮件:Miloud.Assal@fst.rnu.tn全文预览(小,大)[2]。Bourdaud,G.:RéalisationdesespacesdeBesovhomogènes。Arkiv地席,26,4154(1988)[3]。Triebel,H.:功能空格II的理论,Birkhaüs嗯,(1992[4]。杨,D.C.:分数维图形上的Besov空格的一些应用程序。ActaMathematicaSina,Engish系列,21(5),12091218(2004)[5]。杨,D.C.,Yangsheng,H.:Besov和Triebel-Lizorkin的一些新空格在同类的空格打字。StudiaMathematica,156(1),6797(2003)[6]。杨,D.C.:在空格嵌入Besov空格和Triebel-Lizorkin空格的定理哦同类的类型。在中国的科学,系列A,46(2),12091218(2003)[7]。Bahouri,H.,Gérard,P.,徐,C.J.:EspacesdeBesovet评价deStrichartzgénéraliséessurlegroupede海森堡。杂志d'AnalyseMathématique,82,93118,(2000)[8]。Betancor,J.J.,Rodríguez方山,L.:在Besov-Hankel空格。数学。Nachr,171,517(1995)[9]。Assal,M.,Hacen,B.:LaguerreHypergroup上的概括Besov类型空格。Annales马特马蒂丘斯·布莱塞·帕斯卡,12,117145(2005)[10]。Bami,M.L.:L1(K,ω的Semisimplicity)加权的可交换的HypergroupK。ActaMathematicaSinica,英语系列,24(4),606610(2008)。[11]。本森,C.,Jenkins,J.,Ratcliff,G.:海森堡组上的Schwartz功能的球形的变换。功能的分析的杂志,154,379423(1998)[12]。Nessibi,M.M.,Trimèche,K.:由使用的Laguerre亢奋的组上的氡变换的倒置概括了小浪。数学分析和申请的杂志,208,337363(1997)[13]。Kortas,H.,Sifi,M.:Lévy-Khintchine公式和与Laguerre和bessel功能联系的双卷绕旋转半组。潜在的分析,15,4358(2001)[14]。Faraut,J.,Harzallah,K.�
简介:Inthispaper,weprovethefollowingresults:1)AnormalbasisNoverafinitefieldisequivalenttoitsdualbasisifandonlyifthemultiplicationtableofNissymmetric;2)ThenormalbasisNisself-dualifandonlyifitsmultiplicationtableissymmetricandTr(α~2)=1,whereαgeneratesN;3)AnoptimalnormalbasisNisself-dualifandonlyifNisatype-Ⅰoptimalnormalbasiswithq=n=2orNisatype-Ⅱoptimalnormalbasis.
简介:<正>LetD={z∈:|z|<1}andφbeanormalfunctionon[0,1).Forp∈(0,1)suchafunctionφisusedtodefineaBergmanspaceA~p(φ)onDwithweightφ~p(|·|)/(1-|·|~2).Inthispaper,thedualspaceofA~p(φ)isgiven,fourcharacteristicsofCarlesonmeasureonA~p(φ)areobtained.Moreover,asanapplication,threesequenceinterpolationtheoremsinA~p(φ)arederived.
简介:WestudythedualDunkl-SonineoperatortSk,onRd,andgiveexpressionoftSk,e1,usingDunklmultiplieroperatorsonRd.Next,westudytheextremalfunctionsfμλ,λ>0relatedtotheDunklmultiplieroperators,andmorepreciselyshowthat{fμλ}λ>0convergesuniformlytotSk,e(f)asλ→0+.CertainexamplesbasedonDunkl-heatandDunkl-Poissonkernelsareprovidedtoillustratetheresults.
简介:Onthebasisoftheformulationsofthelogarithmicbarrierfunctionandtheideaoffollowingthepathofminimizersforthelogarithmicbarrierfamilyofproblemsthesocalled"centralpath"forlinearprogramming,weproposeanewframeworkofprimal-dualinfeasibleinteriorpointmethodforlinearprogrammingproblems.Withoutthestrictconvexityofthelogarithmicbarrierfunction,wegetthefollowingresults:(a)ifthehomotopyparameterμcannotreachtozero,thenthefeasiblesetoftheseprogrammingproblemsisempty;(b)ifthestrictlyfeasiblesetisnonemptyandthesolutionsetisbounded,thenforanyinitialpointx,wecanobtainasolutionoftheproblemsbythismethod;(c)ifthestrictlyfeasiblesetisnonemptyandthesolutionsetisunbounded,thenforanyinitialpointx,wecanobtaina(?)-solution;and(d)ifthestrictlyfeasiblesetisnonemptyandthesolutionsetisempty,thenwecangetthecurvex(μ),whichtowardstothegeneralizedsolutions.
简介:ThegeneralizedBallcurvesofWang-SaidtypewithapositionparameterLnotonlyunifytheWang-BallcurvesandtheSaid-Ballcurves,butalsoincludeseveralusefulintermediatecurves.ThispaperpresentsthedualfunctionalsforthegeneralizedBallbasisofWang-Saidtype.Therelevantbasistransformationformulaearealsoworkedout.
简介:Tow-phaseflowmixedvariationalformulationsofevolutionfiltrationproblemswithseawaterintrusionareanalyzed.Adualmixedfractionalflowvelocity-pressuremodelisconsideredwithanair-freshwaterandafreshwater-seawatercharacterization.Foranalysisandcomputationalpurposes,spatialdecompositionsbasedonnonoverlappingmultidomains,aboveandbelowthesealevel,arevariationallyintroducedwithinternalboundaryfluxesdualizedasweaktransmissionconstraints.Further,parallelaugmentedandexactlypenalizeddualityalgorithms,andproximationsemi-implicittimemarchingschemes,areestablishedandanalyzed.
简介:EQrot1nonconformingfiniteelementapproximationtoaclassofnonlineardualphaselaggingheatconductionequationsisdiscussedforsemi-discreteandfully-discreteschemes.Byuseofaspecialproperty,thatis,theconsistencyerrorofthiselementisoforderO(h2)oneorderhigherthanitsinterpolationerrorO(h),thesupercloseresultsoforderO(h2)inbrokenH1-normareobtained.Atthesametime,theglobalsuperconvergenceinbrokenH1-normisdeducedbyinterpolationpostprocessingtechnique.Moreover,theextrapolationresultwithorderO(h4)isderivedbyconstructinganewinterpolationpostprocessingoperatorandextrapolationschemebasedontheknownasymptoticexpansionformulasofEQrot1element.Finally,optimalerrorestimateisgainedforaproposedfully-discreteschemebydifferentapproachesfromthepreviousliterature.