简介:ForasubsetKofametricspace(X,d)andx∈X,PK(x)={y∈K:d(x,y)=d(x,K)≡inf{d(x,k):k∈K}}iscalledthesetofbestK-approximanttox.Anelementg。∈Kissaidtobeabestsimultaneousapproximationofthepairy1,y2∈Xifmax{d(y1,g。),d(y2,g。)}=infg∈Kmax{d(y1,g),d(y2,g)}.Inthispaper,someresultsontheexistenceofcommonfixedpointsforBanachoperatorpairsintheframeworkofconvexmetricspaceshavebeenproved.ForselfmappingsTandSonK,resultsareprovedonbothT-andS-invariantpointsforasetofbestsimultaneousapproximation.SomeresultsonbestK-approximantarealsodeduced.TheresultsprovedgeneralizeandextendsomeresultsofI.BegandM.Abbas[1],S.ChandokandT.D.Narang[2],T.D.NarangandS.Chandok[11],S.A.Sahab,M.S.KhanandS.Sessa[14],P.Vijayaraju[20]andP.VijayarajuandM.Marudai[21].
简介:在男荷尔蒙代替治疗Finkelstein等。显示出那睾丸激素而非合成“;pure”;雄激素应该被规定。睾丸激素被变换成superactive雄激素dihydrotestosterone并且到estradiol,并且因此经由雄激素受体和两雌激素受体有行动(ERα;,ERβ;)。尽管肌肉力量是雄激素依赖者,estradiol在men—有主要生理的效果;在骨头上,软骨,并且和雄激素,在性工作上。既不dihydrotestosterone也不‘;pure’;合成雄激素能被变换成estradiol;那么对待的那些因此冒险错过有益(并且必要)在人的雌激素的效果。
简介:在这份报纸,积极明确的矩阵functionals在一套方形的integrable矩阵上定义珍视的功能被介绍并且学习。最好的近似问题以矩阵Fourier系列被解决。Riemann-Lebesgue矩阵性质和Bessel-Parseval矩阵不平等被给。
简介:Inthispapertheconceptofpositivedefinitebilinearmatrixmomentfunctional.actingonthespaceofallthematrixvaluedcontinuousfunctionsdefinedonaboundedinterval[a,b],isintroduced.ThebestapproximationmatrixproblemwithrespecttosuchafunctionalissolvedintermsofmatrixFourierseries.BasicpropertiesofmatrixFourierseriessuchastheKiemann-Lebesguematrixpropertyandthebessel-parsevalmatrixinequalityareproved.Theconceptoftotalsetvjithrespecttoapositivedefinitematrixfunctionalisintroduced,andthetotallityofanorthonormalsequenceofmatrixpolynomialswithrespecttothefunctional,isestablished.
简介:Inanabstractsetup,wegetstrongtypeinequalitiesinL~(p+1)byassumingweakorextra-weakinequalitiesinOrliczspaces.Forsomeclassesoffunctions,thenumberpisrelatedtoSimonenkoindices.WeapplytheresultstogetstronginequalitiesformaximalfunctionsassociatedtobestΦ-approximationoperatorsinanOrliczspaceL~Φ.
简介:Todaythecowboyseemstobegivingupwearingthebandannahandkerchief.Perhapshethinksitmakeshimlooktoomuchlikeamoviecowboy.Maybehehasfoundsomethingmoreusefultotakeitsplace.Butnotlongago,hefeltthatitwasalmostasnecessaryapartofhisoutfitasarope.Andithadalmostasmanydifferentuses.Hecouldnotgetalongwithoutit.
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简介:ONEXCHANGEALGORITHMFORNONLINEARBESTCHEBYSHEVAPPROXIMATIONWITH LGHCONDITIONXiongGuijing(熊规景);WeiDan(韦旦)(Inst.ofMath.Sci.,Chin....
简介:InthispaperweestablisharesultaboutuniformlyequivalentnormsandtheconvergenceofbestapproximantpairsontheunitaryballforafamilyofweightedLuxemburgnormswithnormalizedweightfunctionsdependingonε,whenε→0.ItisintroducedageneralconceptofPadeapproximantandwestudyitsrelationwiththebestlocalquasi-rationalapproximant.Wecharacterizethelimitoftheerrorforpolynomialapproximation.WealsoobtainanewconditionoveraweightfunctioninordertoobtaininequalitiesinLpnorm,whichplayanimportantroleinproblemsofweightedbestlocalLpapproximationinseveralvariables.