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1.
TOWARDATHEORYOFWEAKISEQUENCESZHOUCAIJUNAbstractTheauthorintroducesanotionofweakIsequencesandcharacterizessuchsequencesbymean...  相似文献   

2.
ON EXTREMALITY AND UNIQUE EXTREMALITY OF TEICHMULLER MAPPINGS   总被引:2,自引:1,他引:1  
ONEXTREMALITYANDUNIQUEEXTREMALITYOFTEICHMULLERMAPPINGS¥LAIWANCAI;WUZHEMINAbstract:ConsidertheTeichmullermappingfassociatedwit...  相似文献   

3.
HOPFALGEBRAICAPPROACHTOTHEnLINEARLYRECURSIVESEQUENCES¥LIANGGUIAbstract:Itisprovedthatalinearlyrecursivesequenceofnindicesover...  相似文献   

4.
THESHAPEPRESERVINGANDHIGHACCURACYAPPROXIMATIONWITHMULTIQUADRIC*WUZONGMINANDLIUJIANPINAbstract.Thispaperdiscussesthesuficientc...  相似文献   

5.
THEAPPLICATIONSOFUNIQUENESSTHEOREMTOALIENARDEQUATION¥ZhouZhengxin(YangzhouTeacher'sCollege)Abstract:Inthispaper,wehavedisscus...  相似文献   

6.
SOLUTIONOFARESEARCHPROBLEMONTREESOFSUBSETS WUSHIQUANAbstract:Inthispaper,wesolvearesearchproblemontreesofsubsetsposedbyF.R.Mc?..  相似文献   

7.
QUASI-CONVEXMULTIOBJECTIVEGAME-SOLUTIONCONCEPTS,EXISTENCEANDSCALARIZATION¥LIYUANXIAbstract:Thispaperdealswiththesolutionconce...  相似文献   

8.
SCALAR CURVATURES ON NONCOMPACT RIEMANN MANIFOLDS   总被引:1,自引:1,他引:0  
SCALARCURVATURESONNONCOMPACTRIEMANNMANIFOLDS¥ZHOUDETANGAbstract:Theauthorobtainssometheoremsforafunctiontobethescalarcurvatur...  相似文献   

9.
LIMITCYCLESOFCUBICLIENARDEQUATION(Ⅱ)¥QiuYa(FuzhouUniversity)Abstract:Wediscusstheuniquenessandatmosttwolimitcyclesforaclassof...  相似文献   

10.
TENSORPRODUCTOFSEMIGROUPSANDTHEEQUATIONAC-CB=Q¥WANGSHENGwaNG;I.ERDELYIAbstract:Propertiesfortensorproductsofsemigroupsarecons...  相似文献   

11.
平均值不等式的矩阵形式   总被引:1,自引:0,他引:1  
得到了几何—算术平均不等式和几何—调和平均不等式的一些矩阵形式.  相似文献   

12.
We characterize all mean values for Csiszár’s inequality in information theory as well as all mean values for the triangle inequality. Several examples are given as well. Also, as an application, we improve the Cauchy–Schwarz operator inequality.  相似文献   

13.
朱永娥  侯海军 《数学季刊》2007,22(3):412-414
The paper brings an important integral inequality,which includes the famous Polya-Szego inequality and the logarithmical-arithmetic mean inequality as special cases.  相似文献   

14.
三大著名不等式的拓广与深化   总被引:1,自引:0,他引:1  
利用一个分式型的双向积分不等式 ,将 H lder不等式、H.Minkowski不等式、Schl milch不等式(幂平均不等式 )三大世界著名不等式进行拓广与深化 ,使对此问题的研究更具深刻性、系统性 .  相似文献   

15.
杨乐不等式的推广及加强   总被引:1,自引:0,他引:1  
本文首先利用凸函数基本不等式和平均值不等式推广并加强了杨乐不等式 ,然后利用 Jensen不等式给出了两个更为广泛的结果 .  相似文献   

16.
算术平均值与几何平均值不等式的推广   总被引:1,自引:0,他引:1  
利用初等对称多项式得出算术平均值与几何平均值不等式的推广形式,并给出[1]中的一个猜想不等式的证明.  相似文献   

17.
凸函数和凹函数的幂平均不等式   总被引:8,自引:1,他引:7  
文 [1 ]获得了当 α≥ 1时的凸函数的幂平均不等式 (3)、(4 ) [1] .本文指出文 [1 ]中的一个错误 ,并且得到了 α≤ 1时的凹函数的幂平均不等式 .修正和充实了文 [1 ]的定理 .同时讨论了当 α取其它值时不等式的情况 .  相似文献   

18.
Positive polynomials arising from Muirhead’s inequality, from classical power mean and elementary symmetric mean inequalities and from Minkowski’s inequality can be rewritten as sums of squares.  相似文献   

19.
Summary The mean dual cross-sectional measures are introduced. They are shown to satisfy a cyclic inequality similar to that satisfied by the cross-sectional measures (Quermassintegrale). A new representation of the dual cross-sectional measures is used to obtain inequalities relating the mean dual cross-sectional measures and the harmonic cross-sectional measures (Harmonische Quermassintegrale) of Hadwiger. An inequality between the volume and the harmonic cross-sectional measures of a convex body is presented. An inequality stronger than the Urysohn inequality (the harmonic Urysohn inequality) is proven. Strengthened versions of other inequalities previously obtained by the author are also presented. Entrata in Redazione il 13 luglio 1977.  相似文献   

20.
利用提升维度的方法并结合几何图形直观分析,给出一道一元函数积分均值不等式的新证明,并将原不等式推广至形式较为对称的不等式,使得原不等式成为新不等式的特例.最后证明新不等式与函数单调递减的定义等价.  相似文献   

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