Uniform convergence rate for Birkhoff means of certain uniquely ergodic toral maps [PDF]
We obtain estimates on the uniform convergence rate of the Birkhoff average of a continuous observable over torus translations and affine skew product toral transformations.
Silvius Klein +2 more
semanticscholar +1 more source
On the double Lusin condition and convergence theorem for Kurzweil-Henstock type integrals [PDF]
Equiintegrability in a compact interval $E$ may be defined as a uniform integrability property that involves both the integrand $f_n$ and the corresponding primitive $F_n$.
Abraham Racca, Emmanuel Cabral
doaj +1 more source
Pointwise and Uniform Convergence of Fourier Extensions [PDF]
Fourier series approximations of continuous but nonperiodic functions on an interval suffer the Gibbs phenomenon, which means there is a permanent oscillatory overshoot in the neighborhoods of the endpoints.
M. Webb, Vincent Coppé, D. Huybrechs
semanticscholar +1 more source
The local uniform convergence of positive harmonic function sequence
The Harnack distance on space and its conformal invariance were constructed and studied by Herron. In this paper, we obtain the Harnack distance on domains in . Then, we use this concept to investigate some properties of the positive harmonic function
Dang Thinh Do +2 more
doaj +1 more source
Second Moment Convergence Rates for Uniform Empirical Processes
Let be a sequence of independent and identically distributed -distributed random variables. Define the uniform empirical process as , . In this paper, we get the exact convergence rates of weighted infinite series of .
Chen You-You, Zhang Li-Xin
doaj +2 more sources
Uniform convergence for the incompressible limit of a tumor growth model [PDF]
We study a model introduced by Perthame and Vauchelet [19] that describes the growth of a tumor governed by Brinkman's Law, which takes into account friction between the tumor cells.
Inwon C. Kim, O. Turanova
semanticscholar +1 more source
Ideal relatively uniform convergence with Korovkin and Voronovskaya types approximation theorems
We introduce the notion of ideally relative uniform convergence of sequences of real valued functions. We then apply this notion to prove Korovkin-type approximation theorem, and then construct an illustrative example by taking (p,q)-Bernstein ...
S. A. Mohiuddine +2 more
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Sharp Uniform Convergence Rate of the Supercell Approximation of a Crystalline Defect [PDF]
We consider the geometry relaxation of an isolated point defect embedded in a homogeneous crystalline solid, within an atomistic description. We prove a sharp convergence rate for a periodic supercell approximation with respect to uniform convergence of ...
J. Braun, C. Ortner
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Uniform Statistical Convergence on Time Scales
We will introduce the concept of m- and (λ,m)-uniform density of a set and m- and (λ,m)-uniform statistical convergence on an arbitrary time scale. However, we will define m-uniform Cauchy function on a time scale. Furthermore, some relations about these
Yavuz Altin +2 more
doaj +1 more source
Contraction and uniform convergence of isotonic regression [PDF]
We consider the problem of isotonic regression, where the underlying signal $x$ is assumed to satisfy a monotonicity constraint, that is, $x$ lies in the cone $\{ x\in\mathbb{R}^n : x_1 \leq \dots \leq x_n\}$.
Fan Yang, R. F. Barber
semanticscholar +1 more source

