简介：令Vn=span{1,2,…,n},设函数f∈Lp[E,μ],1≤p<∞,在点p处定义一个最佳Lp逼近算子τ∫（p）。记Nf（p）=∥f-τ∫（p）∥p=inf/Q∈Vn∥f-Q∥po本文证明了Nf（p）/[μ（E）]l/p是p的单调增加且有界的函数。如果f∈L∞[E,μ],则存在τ∫（∞）∈Vn,使得∥f-τ∫（∞）∥∞=inf/Q∈Vn∥f-Q∥∞,并且给出了最佳逼近值。

简介：GivenacontinuousfunctionfdefinedontheunitcubeofRnandaconvexfunctiont,t（0）-0,t（x）>0,forx>0,weprovethatthesetofbestLt-approximationsbymonotonefunctionshasexactlyoneelementft,whichisalsoacontinuousfunction.Moreoverifthefamilyofconvexfunctions{t}t>0convergesuniformlyoncompactsetstoafunction0,thenthebestapproximationft→f0uniformly,ast→0,wherefoisthebestapproximationoffwithintheOrliczspaceL0Thebestapproxima-tions{ft}areobtainedaswellasminimizingintegralsortheLuxemburgnorm

简介：AcharacteristicoftheextendedCarlesonmeasureexpressedbythederivativesofLpfunctionsinRn+1+isobtained.

简介：让Sq-1，q≥2，联合起来的范围的表面在欧几里德几何学的spaceRq，f(x)∈Lp(Sq-1)，f(x)≥0，f吗？0，1≤p≤+∞。然后，它在现在的纸被证明有顺序≤N和经常的C>的球形的泛音PN(x)0以便‖f-1/P_N‖L_p≤Cω(f,N~(-1))Lp,在哪儿ω(f，吗δ)Lp=sup_(0

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简介：证明了双诱导映射下L-Fuzzy子格群的像与逆像仍为L-Fuzzy子格群,基于L-Fuzzy集的层次结构特征,研究L-Fuzzy子格群的同态,给出了它们的性质.

简介：让L~p(Ω，H~n)为海森堡显示地图的L~p空间组目标。在这篇论文，一些新性质为空间L~p被获得(Ω，H~n)。

简介：Letf（x）∈C[-1,1],pn*（x）bethebestapproximationpolynomialofdegreentof（x）.G.Iorentzconjecturedthatifforalln,p2n*（x）=p2n+1*（x）,thenfiseven;andifp2n+1*（x）=p2n+2*（x）,po*（z）=0,thenfisodd.Inthispaper,itisprovedthat,undertheL1-norm,theLorentzconjectureisvalidconditionally,i.e.if（i）（1-x2）f（x）canbeextendedtoanabsolutelyconvergentTehebyshevsories;（ii）foreveryn,f（x）-p2n+1*（x）hasexactly2n+2zeros(or,inthearcondsituation,f（x）-p2n+2*（x）hasexaetly2n+3zeros),thenLorentzconjectureisvalid.

简介：在这份报纸，我们学习等轴的延期问题并且显示出那在Lp的联合起来的范围之间的每surjectiveisometry(???????D

简介：ConsiderL2-projectionuhofuton-degreefiniteelementspaceonone-dimensionaluniformgrids.TwodifferentclassesoftheorthogonalexpansioninanelementforconstructingasuperclosetofunctionuhareproposedandthensuperconvergenceforbothuhandDuhareproved.Whennisoddandnoboundaryconditionsareprescribed,thenuhisofsuperconvergenceatn+1orderGausspointsGn+1ineachelement.Whennisevenandfunctionvaluesontheboundaryareprescribed,thenuhisofsuperconvergenceatn+1orderpointsZn+1ineachelement.Iftheotherboundaryconditionsaregiven,thentheconclusionsarevalidinallelementsthatitsdistancefromtheboundary≥ch|lnh|.Theaboveconclusionsarealsovalid.forn-dergreerectangularelementQ1（n）.

简介：Inthispaper,thenotionofL-Rcrossedcoproductisintroducedasaunifiedap-proachforsmashcoproducts,crossedcoproductsandL-RsmashcoproductsofHopfalgebras.AdualitytheoremforL-Rcrossedcoproductisproved.

简介：Anewbiflavonoid,stelleranol,wasisolatedfromtherootsofStellerachamaejasmeL..ItsstructurewasdeterminedbytheanalysisofMSandNMRdata,especially2DNMRspectra.

简介：AdsorptionpropertiesofL-histidineonactivecarbonwerestudiedinthepaper,whichareaffectedbythemainparameters,suchasthequantitypercentofactivecarbon,pHvalueofthesolution,thetimeofadsorptionequilibriumandadsorptiontemperature.TheresultsindicatethatadsorptionequilibriumtimeofL-hisonactivecarbonisabout80minutes.Withtheincreasingofthequantitypercentofactivecarbon,theadsorbanceofL-hisdecreasessharply,andincreaseslighterafterthat.Whenthequantitypercentofactivecarbonis10%,theadsorbancereachestheminimum.pHvalueofsolutionandextractiontemperaturehavegreataffectionontheadsorption.WhenthepHvalueishigherorlowerthanthepIofL-his,theadsorbanceissmall,evenzero.Itisproventhattheexperimentalequilibriumdatawhichareobtainedundertheconditionsof80℃andpH=1.0,arefittedwiththeFreundlichequation:q=2.5914c0.8097.TheresultscanprovidecertainreferencesinL-hisadsorptionprocessofindustrialoperation.

简介：Liquid-solid(L-S)masstransfercoefficients(Ks)werecharacterizedinagas-liquid-solid(G-L-S)three-phasecountercurrentmagneticallystabilizedbed(MSB)usingamorphousalloySRNA-4asthesolidphase.Effectsofsuperficialliquidvelocity,superficialgasvelocity,magneticfieldstrength,liquidviscosityandsurfacetensionwereinvestigated.ExperimentalresultsindicatedthattheexternalmagneticfieldincreasedKsinthree-phaseMSB,ascomparedtothoseinconventionalG-L-Sfluidizedbeds;thatKsincreasedwithmagneticfieldstrength,superficialgasandliquidvelocitiesanddecreasedwithliquidviscosityandsurfacetension;andthatKsshoweduniformaxialandradialdistributionsexceptforsmallincreasesclosetothewall.DimensionlesscorrelationswereestablishedtoestimateKsoftheG-L-ScountercurrentMSBusingSRNA-4catalyst,withanaverageerrorof3.6%.

简介：L-R轰动的产品的理论被扩大到更多样地Hopf代数学；Hopf代数学被给的为更多样地常规的L-R轰动的产品的一个足够的条件。特别地，纸的结果在轰动的产品的情况中暗示Delvaux的主要定理。

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简介：让f(z)是为完整的模块化的组的重量k的holomorphicHeckeeigencuspform。让f(n)是f(z)的第n个规范的Fourier系数。建议那L(sym2f，s)对称的方形的L功能与f(z)被联系，并且$\lambda_{sym^2f}(n)$(n)表示第n系数L(sym2f，s)。在这份报纸，它被证明那$$\sum\limits_{n\leqslantx}{\lambda_{sym^2f}^4(n)}=xP2(\logx)+O(x^{\frac{{79}}{{81}}+\varepsilon})，$$，在P2(t)是在度2的t的一个多项式的地方。同样，它被获得那$$\sum\limits_{n\leqslantx}{\lambda_f^4(n^2)}=x\tildeP2(\logx)+O(x^{\frac{{79}}{{81}}+\varepsilon})，$$，在哪儿$\tildeP_2(t)$是在度2的t的一个多项式。

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简介：让π和π′是GLm(ℚ)和GLm′的自形的无法缩减的尖代表(ℚ),分别地，并且L(s，π×)Rankin-SelbergL功能被纳入π和π′。没有假定概括Ramanujan，推测(GRC)，作者为L给概括素数定理(s，π×)什么时候π≅π′。结果在2007概括刘和汝的相应结果。