简介:Inthispaper,weshowthatnewmodifieddoublecosinetrigonometricsumsintroducedin[1]areinappropriate,theclassofdoublesequencesJdintroducedthereisunusableforsuchsumsandconsequentlytheresultsobtainedinitarecompletelyincorrect.WehereintroduceappropriatemodifieddoublecosinetrigonometricsumsmakingtheclassJdusableconsideringaparticulardoublecosinetrigonometricseries.
简介:Inthispaper,theLp-convergenceofGrünwaldinterpolationGn(f,x)basedonthezerosofJacobipolynomialsJ(α,β)n(x)(-1<α,β<1)isconsidered.Lp-convergence(0
1.Moreover,Lp-convergence(p>0)ofGn(f,x)isobtainedfor-1<α,β≤0.Therefore,theresultsof[1]and[3-5]areimproved.
简介:The(Nrlund)logarithmicmeansoftheFourierseriesoftheintegrablefunctionfis:1/l_nsumfromk=1ton-1S_k(f)/(n-k),wherel_n:=sumfromk=1ton-11/kInthispaperwediscusssomeconvergenceanddivergencepropertiesofthislogarithmicmeansoftheWalsh-Fourierseriesoffunctionsintheuniform,andintheL~1Lebesguenorm.Amongothers,asanapplicationofourdivergenceresultswegiveanegativeanswertoaquestionofMóriczconcerningtheconvergenceoflogarithmicmeansinnorm.
简介:
简介:让A是现代派的pSteenrod代数学和S在p局部性的范围光谱,在p是一个奇怪的素数的地方。在2001,林在被代表由的范围的稳定的homotopy检测了一个新家庭(b_oh_n-h_1b_(n-1))∈Ext_A~(3,(p~n+p)q)(Z_p,Z_p)在亚当斯光谱顺序。同时,他证明了那i_*(h_1h_n)∈Ext_A~(2,(p~n+p)q)(H~*M,Z_p)是在亚当斯的一个永久周期光谱顺序并且收敛到重要元素ξ_n∈π_((p~n+p)q-2)M。在这糊,与林一起“s结果,我们使用亚当斯光谱顺序和5月光谱检测homotopy元素jj的一个新重要家庭的顺序”j酒吧γ~si酒吧i“在范围的稳定的homotopy组的ξ_n。新的具有度p~nq+sp~2q+spq+(s-2)q+s-6并且被h_1h_nγ_s在E_2~代表直到非零数量(s+2,*)亚当斯的术语光谱顺序,在此p≥7,q=2(p-1),n≥4和3≤s
简介:睁开双眼,我看到的是摇曳在空中那被风吹动的树叶。细细的呼啸声与耳膜产生共鸣,使我不禁感到一丝凉意。天气阴沉,应该是快要下雨了吧。我甩了甩脑袋,试图使自己的头脑清醒一下。长时间躺在这公园的长椅上使我感到腰酸背疼,是该起身活动活动筋骨了啊。
简介:InthispaperitturnsoutthataBanachlatticeXisorderisomorphictol~1(Γ)forsomenonemptysetΓiffitisaSchurspaceandalltheinfinitelydimensional,separableandclosedidealsofXareorderisomorphic.
简介:Therearemanyacceleratingconvergencefactors(ACFs)forlimitperiodiccontinuedfractionK(an/1)(an→a≠0).Inthispaper,somecharacteristicsandcomparativetheoremsareobtainedonACFs.TworesultsaregivenformostfrequentlyusedACFs.
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:我们从集中的繁殖的观点在复杂近似的地里讨论一些古典定理和一些最近的结果。我们也在C2在集中的繁殖上证明一条定理。
简介:Inthepaper,weinvestigatethecompleteconvergenceandcompletemomentconvergenceforthemaximalpartialsumofmartingalediferencesequence.Especially,wegettheBaum–Katz-typeTheoremandHsu–Robbins-typeTheoremformartingalediferencesequence.Asanapplication,astronglawoflargenumbersformartingalediferencesequenceisobtained.
简介:InthispaperwestudytheconvergencenfaclassofmeansonHp(G)(0
1),themeanstaketheBochner-Rieszmeansin[1],thegeneralizedBochner-Rieszmeansin[2],andtheoperatorsTΦrin[3]asspecialcases.Weobtainweak-typeestimatesfortheassociatedmaximaloperatorsandthemaximalmeanboundednessforthemeans.
简介:identification and classification of learning strategy. The problems are reviewed concerning the definition and classification of learning strategies and then the paper tentatively introduces Cohen’s approach to defining learning strategies in terms of prototypicality of features of learning strategies.,Cohen’s attempt to describe the prototypicality of strategies is a step forward concerning defining learning strategies. It might reflect the nature of learning strategies to a large extent because the answers to the questionnaire come from strategy experts. It is true that some problems still exist. For example,all-or-nothing feature but in terms of how far along a continuum a feature could possibly go before it stopped being descriptive of a strategy. This is an approach of defining learning strategies in terms of how prototypical the feature was. These features as follows are arranged in a descending order of agreement