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简介：在求数列{1/n!(n/e)}的极限时,应用司特林(J.Stirling)公式

简介：SupposethatCisthecomplexplaneandkisanon-negativeinteger.DefinefunctionsNk-(x)=|x|kifkisevenandNk(x)=x|x|k-1ifkisodd.SomeapproximationpropertiesofNk-(x)’sisdiscussedandanewexampleofaTchebycheffsystemisgivenout.

简介：在这份报纸，我们在Rn定义领域的一个班。用反映Brownian运动的同步联合，我们与Neumann边界条件获得热方程的答案的monotonicity性质。我们然后证明热点为域的这个类推测抓住。

简介：通过比较两个图的色多项式的系数（本文使用了五独立集数）、顶点集、边集、三角形和四圈的个数，证明了K（2，2．6）是色唯一图．从而部分地回答了文[5]，[7]中遗留的一个问题，并得到图K（n，n，n＋4）（n=2或n≥4）是色唯一的．

简介：Inthispaper,wegivesomedecompositionsoftriplesofZpnorZ3pnintocyclictriplesystems.Newconstructionsofdiferencefamiliesaregiven.Someinfniteclassesofsimplecyclictriplesystemsareobtainedfromthesedecompositions.

简介：用非线性分析的方法讨论了方程N（t）=N（t）[a（t）-∑ni=1bi(t)Ni(t-τi（t）)]的周期正解的存在性，所获结果包含或推广了已有的几上结论[2，3]。

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简介：深化对本性谱的认识;给出∑_e~n(n≥2)型Banach空间上的摄动类问题的反面回答.

简介：<正>WeintroducecertainCalderón-Zygmund-typeoperatorsanddiscusstheirboundednessonspacessuchasweightedLebesguespaces,weightedweakLebesguespaces,weightedHardyspacesandweightedweakHardyspaces.Thesharpnessofsomeresultsisalsoinvestigated.

简介：Thestudyofoperatorssatisfyingσja(T)=σa(T)isofsignificantinterest.Doesσja(T)=σa(T)forn-perinormaloperatorT∈B(H)ffThisquestionwasraisedbyMecheriandBraha[Oper.Matrices6(2012),725–734].Inthenoteweconstructacounterexampletothisquestionandobtainthefollowingresult:ifTisan-perinormaloperatorinB(H),thenσja(T)\{0}=σa(T)\{0}.Wealsoconsidertensorproductofn-perinormaloperators.

简介：Letr,1p={f:fr-1isabs.cont.onI=[a,b],fisperiodiewithperiodH（=b-a）,f（x1）=0,‖f（r）‖p≤0},wherex1isanyfixedpointin[a,b].TheauthorfindstheKolmogorov,Gel’land,linear,andBerusteinn-widthsofr,1pinLp（I）fornodd,∞>p>1.Theoptimalsubspacesandoperatorsarealsofound.

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简介：ThepresentpaperdealswithfindingofconstantoccurringintheorderofapproximationofthefunctionofLipα(O<α<1)classbyusing(N,p)operator.Obviouslythefactor1/(1-α)becomeslargewhenαiscloseto1.Wehaveshowntheroleofthisfactorintheconstantofapproximation.

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简介：Itisknownfromclassicaldifferentialgeometrythatonecanreconstructacurvewith(n-1)prescribedcurvaturefunctions,ifthesefunctionscanbedifferentiatedacertainnumberoftimesintheusualsenseandifthefirst(n-2)functionsarestrictlypositive.ItisestablishedherethatthisresultstillholdsundertheassumptionthatthecurvaturefunctionsbelongtosomeSobolevspaces,byusingthenotionofderivativeinthedistributionalsense.ItisalsoshownthatthemappingwhichassociateswithsuchprescribedcurvaturefunctionsthereconstructedcurveisofclassC∞.

简介：ＳＯＭＥＩＮＴＥＧＲＡＬＩＮＥＱＵＡＬＩＴＩＥＳＩＮＮＩＮＤＥＰＥＮＤＥＮＴＶＡＲＩＡＢＬＥＳＹＡＮＧＥＮＨＡＯ（杨恩浩）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｔｃｓ，ＪｉｎａｎＵｎｉｖｅｒｓｉｔｙ，Ｇｎａｎｇｚｈｏｕ５１Ｏ６３２，Ｃｈｉｎａ）Ａ...

简介：BymeansofthetheoryofharmonicmapsintotheunitarygroupU(N),theauthorsstudyharmonicmapsintothesymplecticgroupSp(N).Thesymplecticunitonandsymplecticex-tendedunitonareintroduced.ThemethodofthesymplecticBacklundtransformationandtheDarbouxtransformationisusedtoconstructnewsymplecticunitonsfromaknownone.

简介：Inthispaper,theauthorsstudysomepropertiesofLittlewood-Paleyg-functionsg_ψ(f),LusinareafunctionsS_(ψ,α)(f)andLittlewood-Paleyg_(ψ,λ)~*(f)functionsdefinedonH~n,whereα,λ>0andψ,faresuitablefunctions.TheyarethegeneralizationofthecorrespondingoperatorsonR~n.

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