Results 81 to 90 of about 516,450 (251)
ON THE APPROXIMATION OF SINGULAR INTEGRALS
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 In this work we present an approximation for singular integrals of Cauchy type using a small technical in order to eliminate the singularity. This approximation is destined to resolve numerically the singular integral equations with Cauchy type ...
B. LAKEHALI, Mostefa NADIR
doaj
International Statistical Review, EarlyView.Summary Understanding the spread of infectious diseases such as COVID‐19 is crucial for informed decision‐making and resource allocation. A critical component of disease behaviour is the velocity with which disease spreads, defined as the rate of change between time and space.
Fernando Rodriguez Avellaneda +2 more
wiley +1 more source
Modular Cauchy Kernel Corresponding to the Hecke Curve [PDF]
Arnold Mathematical Journal, 2018 In this paper we construct the modular Cauchy kernel $ _N(z_1, z_2)$, i.e. the modular invariant function of two variables, $(z_1, z_2) \in \mathbb{H} \times \mathbb{H}$, with the first order pole on the curve $$D_N=\left\{(z_1, z_2) \in \mathbb{H} \times \mathbb{H}|~ z_2= z_1, ~ \in _0(N) \right\}.$$ The function $ _N(z_1, z_2)$ is used in two ...
openaire +3 more sources
Validation of machine learning based scenario generators
Journal of Risk and Insurance, EarlyView.Abstract Machine learning (ML) methods are becoming increasingly important for designing economic scenario generators for internal models. Validating data‐driven models requires different methods than validating classical, theory‐based models. We discuss two novel aspects of such validation: first, checking the multivariate distribution of risk factors,
Gero Junike, Solveig Flaig, Ralf Werner
wiley +1 more source
Cauchy Biorthogonal Polynomials
, 2009 The paper investigates the properties of certain biorthogonal polynomials appearing in a specific simultaneous Hermite-Pade' approximation scheme. Associated to any totally positive kernel and a pair of positive measures on the positive axis we define ...
Aptekarev +33 more
core +2 more sources
The problem with Saigo operators for a hyperbolic equation that degenerates inside the domain
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 A nonlocal problem is investigated for a degenerate hyperbolic equation $$ |y|^{m} u_{xx}-u_{yy}+a |y|^{\frac{m}{2}-1} u_{x}=0 $$ in a domain bounded by the characteristics of this equation.
Oleg A Repin
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Gabor frame operator for the Cauchy kernel
, 2022 Submitted August 15, 2022 to Ufa Mathematical ...
Belov, Yurii +2 more
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Change Point Analysis for Functional Data Using Empirical Characteristic Functionals
Journal of Time Series Analysis, EarlyView.ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth +2 more
wiley +1 more source
On Pfaffian random point fields
, 2013 We study Pfaffian random point fields by using the Moore-Dyson quaternion determinants. First, we give sufficient conditions that ensure that a self-dual quaternion kernel defines a valid random point field, and then we prove a CLT for Pfaffian point ...
Kargin, Vladislav
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On Inner Expansions for a Singularly Perturbed Cauchy Problem with Confluent Fuchsian Singularities
Mathematics, 2020 A nonlinear singularly perturbed Cauchy problem with confluent Fuchsian singularities is examined. This problem involves coefficients with polynomial dependence in time.
Stephane Malek
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