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Asymptotics of the heat kernels on 2D latticesWe obtain asymptotic expansions of the spatially discrete 2D heat kernels, or Green's functions
A central limit theorem for random fields of kernel type density estimators. It turns out that in our setting the covariance structure of the limiting
Novel Approach to Predicting Soil Permeability Coefficient Using Gaussian Process Regression, various kernel-function-based Gaussian process regression models were developed to estimate the soil
Generalized Poisson integral and sharp estimates for harmonic and biharmonic functions in the half-spaceA representation for the sharp coefficient in a pointwise estimate for the gradient of a
Norm convolution inequalities in lebesgue spacesWe obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator
Convergence of approximate solutions to two-dimensional singular integral equation with Cauchy kernel in the integral metrics to approximate solution to two-dimensional singular integral equation with the Cauchy kernel by the moment method
A central limit theorem for random fields of kernel type density estimators. It turns out that in our setting the covariance structure of the limiting
Optimal embedding and sharp estimates of the continuity envelope for generalized Bessel potentials for the convolution u = G*f in terms of the behavior of kernel near the origin, and at the infinity. In our paper
Estimation of the uniform modulus of continuity of the generalized Bessel potential with kernels that generalize the classical Bessel-Macdonald kernels. In contrast to the classical case
Convergence of approximate solutions to two-dimensional singular integral equation with Cauchy kernel in the integral metrics to approximate solution to two-dimensional singular integral equation with the Cauchy kernel by the moment method
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