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101.
E. P. Dolzhenko 《Mathematical Notes》1996,60(2):130-136
Letd(;z, t) be the smallest diameter of the arcs of a Jordan curve with endsz andt. Consider the rapidity of decreasing ofd(;)=sup{d(;z, t):z, t , ¦z–t¦} (as 0,0) as a measure of nicety of . Letg(x) (x0) be a continuous and nondecreasing function such thatg(x)x,g(0)=0. Put¯g(x)=g(x)+x, h(x)=(¯g(x))2. LetH(x) be an arbitrary primitive of 1/h
–1(x). Note that the functionH
–1
x is positive and increasing on (–, +),H
–1 0 asx– andH
–1+ asx +. The following statement is proved in the paper.Translated fromMatematicheskie Zametki, Vol. 60, No. 2, pp. 176–184, August, 1996.This research was supported by the Russian Foundation for Basic Research under grant No. 93-01-00236 and by the International Science Foundation under grant No. NCF000. 相似文献
102.
在Vander Lugt 相关器中,预先制作的匹配滤波器是系统能否得到较好的相关识别结果的关键。通常使用的迂回相位匹配滤波器编码法数据利用率不高,相关效果有进一步改进的空间。对基于最小欧几里德距离的映射编码法进行了研究,利用空间光调制器的振幅与相位调制特性进行滤波器编码,通过仿真实验分析了匹配滤波函数幅度因子对相关结果的影响,并与迂回相位编码法的相关结果进行了对比分析。从仿真结果可以看出:匹配滤波函数幅度因子越大,相关峰值越高;当幅度因子达到103时,相关峰值达到最大值;此时,映射编码法的相关峰值接近于迂回相位编码法的2倍。因此映射编码法比迂回相位编码法更有利于相关峰的判别。 相似文献
103.
魏利 《数学的实践与认识》2006,36(4):232-239
利用不动点定理,分别证明了在自反Banach空间中极大单调算子值域扰动的抽象结论和在H ilbert空间中m增生映射值域的扰动结果,这些结论是对以往一些工作的推广;然后,利用文中的新结论讨论了一类微分方程解的存在性. 相似文献
104.
Dominik Benkovič 《代数通讯》2018,46(5):1859-1867
For a triangular algebra 𝒜 and an automorphism σ of 𝒜, we describe linear maps F,G:𝒜→𝒜 satisfying F(x)y+σ(x)G(y) = 0 whenever x,y∈𝒜 are such that xy = 0. In particular, when 𝒜 is a zero product determined triangular algebra, maps F and G satisfying the above condition are generalized skew derivations of the form F(x) = F(1)x+D(x) and G(x) = σ(x)G(1)+D(x) for all x∈𝒜, where D:𝒜→𝒜 is a skew derivation. When 𝒜 is not zero product determined, we show that there are also nonstandard solutions for maps F and G. 相似文献
105.
Strong convergence analysis of a hybrid algorithm for nonlinear operators in a Banach space 下载免费PDF全文
Sun Young Cho 《Journal of Applied Analysis & Computation》2018,8(1):19-31
In this paper, a hybrid algorithm is investigated for an asymptotically quasi-$\phi$-nonexpansive mapping in the intermediate sense and a bifunction. Strong convergence of the algorithm is obtained in a strictly convex, smooth and reflexive Banach space. 相似文献
106.
A linear operator associated with the Mittag-Leffer function and related conformal mappings 下载免费PDF全文
In the present paper, we introduce a linear operator associated with the Mittag-Leffler function. Some convolution properties of meromorphic functions involving this operator are given. 相似文献
107.
《Mathematical Methods in the Applied Sciences》2018,41(2):714-723
The Loewner partial differential equation provides a one‐parametric family of conformal maps on the unit disk. The images describe a flow of an expanding simply‐connected domain, called the Loewner flow, on the complex plane. In this paper, we present a numerical algorithm for solving the radial Loewner partial differential equation. The algorithm is applied to visualization of Loewner flows with the performance and precision. From the theoretical point of view, our algorithm is based on a recursive formula for determining coefficients of polynomial approximations. We prove that each coefficient converges to true values with reasonable regularity. 相似文献
108.
In this article,the authors obtain an inequality of homogeneous expansion for f,where f is a quasi-convex mapping(including quasi-convex mapping of type A and quasi-convex mapping of type B)defined on the open unit polydisk in C n .Meanwhile,the authors also investigate its application. 相似文献
109.
Caiyun Jin 《Numerical Functional Analysis & Optimization》2019,40(7):825-843
In this article, an approximate minimax theorem for bi-lower-semicontinuous set-valued mapping was proved, relationships between semicontinuous set-valued mappings are discussed and the existence of approximate maxmin was given. The minimax theorem in this article is the first minimax theorem that doesn’t require the set-valued mappings to be continuous. 相似文献
110.
PENG Yan-Ze 《理论物理通讯》2005,43(2):205-207
New exact solutions in terms of the Jacobi
elliptic functions are obtained to the (2+1)-dimensional breaking
soliton equation by means of the modified mapping method. Limit
cases are studied, and new solitary wave solutions and triangular
periodic wave solutions are obtained. 相似文献