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Generalized Young and Cauchy--Bunyakowsky Inequalities with Applications: a survey
Generalized Young Cauchy--Bunyakowsky Inequalities Applications
2011/2/22
In this survey we consider generalizations for Young and Cauchy–Bunyakowsky inequalities with applications.In section 2 it is noticed that in fact there two different Young inequalities (for two numbe...
The Geometric Cauchy Problem for Surfaces With Lorentzian Harmonic Gauss maps
Differential geometry integrable systems loop groups constant mean curvature surfaces
2010/12/14
The geometric Cauchy problem for a class of surfaces in a pseudo-Riemannian manifold of dimension 3 is to find the surface which contains a given curve with a prescribed tangent bundle along the curve...
本文讨论了紧李群上Fourier级数的方体平均求和的几乎处处收敛问题,并用这一结果,讨论了多复变数典型域$R_1$上Cauchy型积分的边界性质与Dirichlet问题.
关于抛物型方程Cauchy问题整体解的一个注
2007/12/12
在 $E^n×(0,∞)$上考虑一类抛物型方程齐次 Cauchy 问题的整体解,证明类似于椭圆型方程整解的 Liouville 定理成立.
CAUCHY-RASSIAS STABILITY OF CAUCHY-JENSEN ADDITIVE MAPPINGS IN BANACH SPACES
Cauchy additive mapping Jensen additive mapping Cauchy--Rassias stability isomorphism between Banach algebra
2007/12/11
Let $X, Y$ be vector spaces. It is shown that if a mapping $f : X \rightarrow Y$ satisfies $$\align &f\bigg(\frac{x+y}{2}+z\bigg) + f\bigg(\frac{x-y}{2}+z\bigg) = f(x)+2f(z) , \tag 0.1 \&f\bigg(\frac{...
ON THE \ellP NORMS OF ALMOST CAUCHY-TOEPLITZ MATRICES
Cauchy Toeplitz norm Cauchy-Toeplitz matrix matrix norm
2010/3/17
In this study, we have given the definition of almost Cauchy-Toeplitz matrix. i.e. its elements are tij= a(i=j) and tij=1/(i-j)\, (i\neq j) such that a is a real number. We have found a lower and uppe...