简介:Wewilldefineandcharacterizeε-pseudoChebyshevandε-quasiChebyshevsubspacesofBanachspaces.WewillprovethataclosedsubspaceWisε-pseudoChebyshevifandonlyifWisε-quasiChebyshev.
简介:Weraiseandpartlyanswerthequestion:whetherthereexistsaMarkovsystemwithrespecttowhichthezerosoftheChebyshevpolynomialsaredense,butthemaximumlengthofazerofreeintervalofthenthChebyshevpolynomialdoesnottendstozero.Wealsodrawtheconclu-tionthataMarkovsystem,underanadditionalassumption,isdenseifandonlyifthemaxi-mumlengthofazerofreeintervalofthenthassociatedChebyshevpolynomialtendstozero.
简介:Inthispaper,weestablishanewtypeofalternationtheoryformoregeneralrestrictedrangesChebyshevapproximationwithequalities.Theuniquenessandstronguniquenesstheoremsaregiven.Applyingtheresults,weobtainthealternationtheoremanduniquenesstheoremforbestcoposiliveapproximation.
简介:在一致凸的Banach空间中,采用新的证明方法研究了严格渐近伪压缩映象和渐近非膨胀映象带误差的修正的Mann和Ishikawa迭代程序的收敛性问题,不要求定义域、值域有界,且迭代系数更简单.
简介:设X是一致光滑的Banach空间,T:D(T)属于X→2^x是局部严格伪压缩映射且有不动点.设Q是从X到D(T)上的非扩张保核映射.任取x0∈D(T)归纳定义:xn+1=Qpл,pn∈(1-cn)xn+cnTQyn,yn∈(1-dn)xn+dnTxn.如果存在有界序列{wn}和{zn},wn∈TQyn,zn∈Txn.则{xn}强收敛于T的唯一不动点.其中数列{cn}和{dn}满足适当条件.
简介:ONEXCHANGEALGORITHMFORNONLINEARBESTCHEBYSHEVAPPROXIMATIONWITH LGHCONDITIONXiongGuijing(熊规景);WeiDan(韦旦)(Inst.ofMath.Sci.,Chin....
简介:性质awc1被许多作者使用由弱Chebyshevsubspaces的元素有关近似获得结果。在这份报纸,作者在细节学习这个性质,由收集有关它并且由发现新的散布结果。
简介:Itwillbedeterminedunderwhatconditionstypesofproximinalityaretransmittedtoandfromquotientspaces.Inthefinalsection,bymanyexamplesweshowthattypesofproximinalityofsubspacesinBanachspacescannotbepreservedbyequivalentnorms.
简介:研究了Lipschitz伪压缩映射的黏滞迭代方法.设E为一致光滑Bannach空间,K为E的闭凸子集,TK→K为Lipschitz伪压缩映射且其不动点集F(T)非空,f为K上的压缩映射且t∈(0,1).若黏滞迭代路径{xt},xt=(1-t)f(xt)+tTxt且对任意初始向量x1∈K,迭代序列{xn}定义为xn+1=λnθnf(xn)+[1-λn(1+θn)]xn+λnTxn,则当t→1-和n→∞时,{xt}和{xn}都强收敛于T的不动点,同时该不动点还是一类变分不等式的解.
简介:Someresultsfromthetheoryofbest(orbestsimultaneous)approximationinanarmedlinearspacehavebeenextendedtoanormedalmostlinearspace[strongnormedalmostlinearspace].
简介:LetB(resp.K,Bl,Kl)denotethesetofallnonemptybounded(resp.compact,boundedconvex,compactconvex)closedsubsetsoftheBanachspaceX,endowedwiththeHausdorffmetric,andletGbeanonemptyrelativelyweaklycompactclosedsubsetofX.LetB°standforthesetofallF∈Bsuchthattheproblem(F,G)iswell-posed.Weprovedthat,ifXisstrictlyconvexandKadec,thesetKl∩B°isadenseG_δ-subsetofKl\G.Furthermore,ifXisauniformlyconvexBanachspace,wewillprovemore,namelythatthesetB\B°(resp.K\B°,Bl\B°,Kl\B°)isa-porousinB(resp.K,Bl,Kl).Moreover,weprovethatformost(inthesenseoftheBairecategory)closedboundedsubsetsGofX,thesetK\B°isdenseanduncountableinK.
简介:最近,Brutman和Passow认为Newman类型合理插值是to|x|由对称的节点的任意的集合导致了在[-1,1]并且给了近似错误的一般评价。由他们的方法,一个人能为一些特殊节点建立近似的准确顺序。在我们考虑插值节点是第二种类型的零个Chebyshev多项式并且在这种情况中证明那的特殊情况的现在的纸,近似的准确顺序是O(1/(nlnn))。
简介:FOURIER-CHEBYSHEVSPECTRALMETHODFORSOLVINGTHREE-DIMENSIONALVORTICITYEQUATIONGUOBENYU(郭本瑜);LIJIAN(李健);MAHEPING(马和平)(Departmento...