共查询到20条相似文献,搜索用时 0 毫秒
1.
陈超平 《数学年刊A辑(中文版)》2021,42(1):89-104
文章给出一个递推关系式来确定Landau常数的渐近展开式的系数.考虑了 Euler-Mascheroni常数和n!的渐近展开式,并给出了递推关系式来确定每个展开式的系数,没有利用Bernoulli数. 相似文献
2.
对于所有的整数n≥0,Landau常数定义为Gn=nΣk=01/16k(2kk)2.该文建立了Landau常数新的逼近公式.指出了获得的结果与先前已有结果之间的相关联系 相似文献
3.
Dejun Zhao 《Journal of Mathematical Analysis and Applications》2009,349(1):68-844
We establish several sharp two-sided inequalities involving the constants of Landau and Lebesgue, which occur and play important roles in two related extremal problems in complex analysis and in Fourier analysis respectively. The main results improves essentially the Watson asymptotic expansion formulas for these constants. 相似文献
4.
In this paper, we investigate the well-posedness of the real fractional Ginzburg–Landau equation in several different function spaces, which have been used to deal with the Burgers’ equation, the semilinear heat equation, the Navier–Stokes equations, etc. The long time asymptotic behavior of the nonnegative global solutions is also studied in details. 相似文献
5.
Ulrich Abel 《Applied mathematics and computation》2010,217(8):4302-4305
In the present note we derive a complete asymptotic expansion for a sequence of certain sums. A special case of our results solves a problem recently proposed in the Research Group in Mathematical Inequalities and Applications (RGMIA) mailing list. Moreover, the result is connected with a certain combinatorial problem. 相似文献
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7.
The complete asymptotic expansion of power means in terms of Bell polynomials is obtained. Some results recently obtained by M. Bjelica are generalized. 相似文献
8.
通过相关文献给出的穿孔平面C\{0,1}的双曲度量的密度函数的新的下界估计,借助广义Schwarz引理我们对Landau定理中关于上界做了进一步改进并得到了一个带参数的上界表达式.并且当参数取到0时,此结论正好为相关文献得到的结果. 相似文献
9.
L. P. Falaleev 《Siberian Mathematical Journal》1991,32(5):896-897
Alma-Ata. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 5, pp. 194–195, September–October, 1991. 相似文献
10.
沈云海 《数学的实践与认识》2006,(9)
首先研究了L2ω(-1,1)上关于L egendre多项式Xn(x)的L andau′s型不等式.利用Xn(x)的正交性,建立了代数多项式pn(x)的L andau′s型不等式,并且指出其不等式的系数在某种意义上是最好可能的. 相似文献
11.
We prove that, if a geodesic metric space has Markov type 2 with constant 1, then it is an Alexandrov space of nonnegative
curvature. The same technique provides a lower bound of the Markov type 2 constant of a space containing a tripod or a branching
point.
Received: 28 November 2007 相似文献
12.
We expand a result of Blatt, concerning the strong uniqueness constants of uniform best approximations on [− 1, 1]. 相似文献
13.
Chao-Ping Chen 《The Ramanujan Journal》2013,31(3):301-313
The Landau constants are defined for all integers n≥0 by $$ G_{n}=\sum_{k=0}^{n} \frac{1}{16^k}\binom{2k}{k}^2. $$ We establish sharp bounds for the Landau constants G n . Relevant connections of the results presented here with those derived in earlier work are also pointed out. 相似文献
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《复变函数与椭圆型方程》2012,57(1):81-87
Chen, Gauthier and Hengartner obtained some versions of Landau's theorem for bounded harmonic mappings and Bloch's theorem for harmonic mappings which are quasiregular and for those which are open. Later, Dorff and Nowak improved their estimates concerning Landau's theorem. In this study, we improve these last results by obtaining sharp coefficient estimates for properly normalized harmonic mappings. Furthermore, our estimates allow us to improve Bloch constant for open harmonic mappings. 相似文献
16.
Namyoung Lee 《Journal of Difference Equations and Applications》2013,19(1):13-20
In this paper, we studied a certain partial differential-difference equation which arose from crystal precipitation modeling. The uniqu existence and asymptotic behaviors of the solution were shown 相似文献
17.
Stephen Cameron Luis Silvestre Stanley Snelson 《Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire》2018,35(3):625-642
We establish a priori upper bounds for solutions to the spatially inhomogeneous Landau equation in the case of moderately soft potentials, with arbitrary initial data, under the assumption that mass, energy and entropy densities stay under control. Our pointwise estimates decay polynomially in the velocity variable. We also show that if the initial data satisfies a Gaussian upper bound, this bound is propagated for all positive times. 相似文献
18.
We consider the asymptotic behavior of solutions for a modified two-component Camassa-Holm (MCH2) system which arises in shallow water theory. It is proved that the corresponding solution to initial data with algebraic decay at infinity will retain this property in its lifespan. 相似文献
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The Landau equation describes the binary collisional effects (through long range coulombian interaction) in a plasma. In this paper, we prove that the known classical solutions to the Landau equation near Maxwellian in the whole space have a regularizing effect in all (time, space and velocity) variables, that is, become immediately smooth with respect to all variables. 相似文献