Results 201 to 210 of about 516,450 (251)

Singular integral equations of convolution type with Cauchy kernel in the class of exponentially increasing functions

Applied Mathematics and Computation, 2019
In this paper we study some classes of generalized singular integral equations of convolution type with Cauchy kernel in the class of exponentially increasing functions.
Ping Li
semanticscholar   +1 more source

Cauchy kernel correntropy‐based robust multi‐innovation identification method for the nonlinear exponential autoregressive model in non‐Gaussian environment

International Journal of Robust and Nonlinear Control
This paper discusses the identification problem of the nonlinear exponential autoregressive model in the non‐Gaussian noise environment. To suppress the negative influence caused by the non‐Gaussian noise on the accuracy of the identification, this paper
Sirui Zhao, Xuehai Wang, Yage Liu
semanticscholar   +1 more source

Cauchy Kernel-Based AEKF for UAV Target Tracking via Digital Ubiquitous Radar Under the Sea–Air Background

IEEE Geoscience and Remote Sensing Letters
The digital ubiquitous radar enhances the echo of small targets by long-term integration, but the tracking of unmanned aerial vehicles (UAVs) is still affected by target motion patterns, sea clutter interference, and other factors, which may result in ...
Xinzhe Ye, Wei Xue, Xiaolong Chen, Yanmin Zhang, Xinghai Wang, Jian Guan   +5 more
semanticscholar   +1 more source

Cauchy-Stieltjes Kernel families: Some properties

Statistics & Probability Letters
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raouf Fakhfakh, Omar Alzeley
openaire   +1 more source

The Cauchy kernel for cones

Studia Mathematica, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cauchy and poisson kernels for tubes

Integral Transforms and Special Functions, 1998
Let C be a regular cone in . The Cauchy and Poisson kernel functions, denoted K(z−t), and respectively, are defined and are shown to be elements in the ultradifferential spaces D(∗,Ls ) for 1 < s≤∞ and 1 ≤ s ≤ ∞, respectively, as functions of arbitrary but fixed.
R.D. Carmichael, S. Pilipović
openaire   +1 more source

Singular Integral Operators with a Generalized Cauchy Kernel

Doklady Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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q-Bernstein polynomials of the Cauchy kernel

Applied Mathematics and Computation, 2008
Let \(q>0\). For \(n=0,1,\dots\), the \(q\)-integer \([n]_q\) is defined by \([n]_q:=1+q+\dots+q^{n-1}\) if \(n\in\mathbb N\) and \([0]_q=0\). The \(q\)-factorial and \(q\)-binomials are given by \([n]_q!=[1]_q![2]_q!\dots [n]_q!\), \(n\in\mathbb N\), \([0]_q!=1\), and \(\left[\binom{n}{k}\right]_q:=\frac{[n]_q!}{[k]_q![n-k]_q!}\), \(0\leq k\leq n ...
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The derivatives of cauchy's kernel and cauchy's estimate in clifford analysis

Complex Variables, Theory and Application: An International Journal, 1989
Some refinements of estimates for the coefficients of the Taylor series are studied in Clifford analysis. An explicit estimate for the partial derivatives of Cauchy's kernel is given. With this result Cauchy's estimate for the partial derivatives of a monogenic function is obtained. These are generalizations of those in complex analysis.
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Solving integro-differential equations with Cauchy kernel

Applied Mathematics and Computation, 2009
In the traditional reproducing kernel method for solving singular integral and integro-differential equations, the representation of the reproducing kernel function is usually complicated and the requirement for the image space of the operator is high.
Zhou, Yongfang, Lin, Yingzhen
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