简介：在这份报纸，我们学习(伪，分级的旗帜弯曲在上的尾)度量标准一歧管尺寸n的M(n鈮?3)。建议那一(伪，尾)度量标准F不是Randers类型的一个Finsler度量标准，也就是说F鈮吗？+k3尾k1>0，k2并且k3是M上的分级的功能。如果并且仅当，我们证明F具有分级的旗帜弯曲并且消失的S弯曲旗帜弯曲K=0并且F是一个Berwald度量标准。在这种情况中，F是一局部地Minkowski度量标准。关键词Finsler度量标准-(伪，尾)度量标准-旗帜弯曲-S弯曲-Minkowski公制的先生(2000)题目分类53B40-53C60由中国(资助号码10971239)的国家自然科学基础支持了

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简介：本文，首先在Ｖ．Ｖ．Ｓｔｅｐａｎｏｖ空间连续模概念，在此空间内讨论概周期函数的Ｆｏｕｒｉｅｒ系数与连续模之间的关系。

简介：Byusingsequentiallylowercompletespaces(see[Zhu,J.,Wei,L.,Zhu,C.C.:Caristitypecoincidencepointtheoremintopologicalspaces.J.AppliedMath.,2013,ID902692(2013)]),wegiveanewversionofvectorialEkeland’svariationalprinciple.Inthenewversion,theobjectivefunctionisdefinedonasequentiallylowercompletespaceandtakingvaluesinaquasi-orderedlocallyconvexspace,andtheperturbationconsistsofaweaklycountablycompactsetandanon-negativefunctionpwhichonlyneedstosatisfyp(x,y)=0iffx=y.Here,thefunctionpneednotsatisfythesubadditivity.FromthenewEkeland’sprinciple,wededuceavectorialCaristi’sfixedpointtheoremandavectorialTakahashi’snon-convexminimizationtheorem.Moreover,weshowthattheabovethreetheoremsareequivalenttoeachother.Byconsideringsomeparticularcases,weobtainanumberofcorollaries,whichincludesomeinterestingversionsoffixedpointtheorem.

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简介：LetEbeacompacts-setsofR^n,TheauthorsdefineanorthonormalsystemФoffunctionsonEandobtainthat,foranyf(x)∈L^l(E1H^8),theFourierseriesoff1withrespecttoФ,isequaltof(x)atH^8-a.e-x∈E.Moreover,foranyf∈L^p(E,H^8)(p≥1),thepartialsumsoftheFourierseries,withrespecttoФ,offconvergestofinL^P-norm.

简介：本文得到几个关于多变量Hp空间中函数Fourier系数的不等式.与单变量相应情形相比,我们的证明方法有较大的变化.

简介：WepressentnewKyFantypebestapproximationtheoremsforadiscontinuousmultivaluedmaponmetrizabletopologicalvectorspacesandhyperconvexspaces.Inaddition,fixedpointresultsarederivedforthemapstudied.Ourworkgeneralizesseverlresultsinapproximationtheory.

简介：ThenonconformingWilson’sbrickclassicallyisrestrictedtoregularhexahedralmeshes.LesaintandZlamal[6]relaxedthisconstraintforthetwo-dimensionalanalonueofthiselementInthispaperweextendtheirresultstothreedimensionsandprovethatandwhereuistheexactsolution,u_histheapproximatesolutionandistheusualnormfortheSobolevspaceH~1(?).

简介：ThispapergivesatutorialonhowtoproveLyapunovtypecriteriabyoptimalcontrolmethods.Firstly,weconsiderstabilitycriteriaonHill'sequationswithnonnegativepotential.Byoptimalcontrolmethodsdevelopedin1990s,weobtainseveralstabilitycriteriaincludingLyapunov'scriterion,Ne..gauzandLidski'scriterion.Secondly,wepresentstabilitycriteriaonHill'sequationswithsign-changingpotentialinwhichBrog'scriterionandKrein'scriterionareincluded.

简介：ItisprovedthateachsufficientlylargeintegerN≡5(mod24)canbewrittenasN=p12+p22+p23+p24+p25with|pj-√N/5|≤U=N1/2-1/35+ε,wherepjareprimes.Thisresult,whichisobtainedbyaniterativemethodandahybridestimateforDirichletpolynomial,improvesthepreviousresultsinthisdirection.

简介：在这篇论文，一些组Ext_A~(s，t)(Z_p，Z_p)与专业化s和t，第一到5月被计算光谱顺序。然后，我们使用亚当斯光谱在稳定的homotopy证明过滤s+的一个新重要家庭的存在是5的顺序范围π_(p~nq+(s+3)pq+(s+1)q-5)组织被代表的S(直到非零数量)由β_(s+2)b_0h_n∈Ext_A~(s+5，p~nq+(s+3)pq+(s+1)q+s)(Z_p，Z_p)在亚当斯光谱，定序5是的p≥一个素数，n≥3，0≤s

简介：Amatrixissaidtobestableiftherealpartsofalltheeigenvaluesarenegative.Inthispaper,foranymatrixAn,wediscussthestabilitypropertiesofT.Chan’spreconditionercU(An)fromtheviewpointofthenumericalrange.AnapplicationinnumericalODEsisalsogiven.

简介：Underthehypothesesthatthesecond-orderandthird-orderderivativesofafunctionarebounded,anestimateoftheradiusoftheconvergenceballofOstrowski-Traub’smethodisobtained.Anerroranalysisisgivenwhichmatchestheconvergenceorderofthemethod.Finally,twoexamplesareprovidedtoshowapplicationsofourtheorem.

简介：TheauthorconsiderstheFeigenbaum'sfunctionalequationf^P(λx)=λf(x)foreachp≥2.TheexistenceofevenunimodalC^1solutionstothisequationisdiscussedandafeasiblemethodtoconstructsuchsolutionsisgiven.

简介：给出了矩阵广义逆AT,S^(2)的一个特征，并由此建立了AT,S^(2)的一种算法。

简介：FranklandFürediin[1]conjecturedthatther-graphwithmedgesformedbytakingthefirstmsetsinthecolexorderingofN（r）hasthelargestLagrangianofallr-graphswithmedges.Denotethisr-graphbyCr,mandtheLagrangianofahypergraphbyλ（G）.Inthispaper,wefirstshowthatif(3t-1)≤m<（3t）,Gisaleft-compressed3-graphwithmedgesandonvertexset[t],thetriplewithminimumcolexorderinginGcis（t—2—i）（t—2）t,thenλ（G）≤λ(C3,m).Asanimplication,theconjectureofFranklandFiirediistruefor（3t）-6≤m≤（3t）.

简介：在这篇论文，我们与都应当是与有限的基本的组一起的3-manifolds的S3-geometry,manifolds的可能的自我印射的度决定了所有。这是一个工程的部分决定所有关上的东方的所有可能的自我印射的度在Thurston的图画的有能力的3-manifold。

简介：Inthisworkweslwlylinearpolynomialoperatorspreservingsomeconsecutivei-convexitiesandleavingin-verantthepolynomtalsuptoacertaindegree.Firstwestudytheexistenceofanincompatibilitybetweentheconservationofcenaini-cotivexitiesandtheinvarianceofaspaceofpolynomials.InterpolationpropertiesareobtainedandatheorembyBerensandDcVoreabouttheBernstein’soperatortsextended.Finally,fromtheseresultsagenera’izedBernstein’soperatorisobtained.