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Uniform Wavelet-Approximation of Singular Integral Equation Solutions. The numerical method proposed in this article is based on the approximation of the unknown function by Chebyshev

An effective stable numerical method for integrating highly oscillating functions with a linear phase, allows reducing the calculation of the integral of a rapidly oscillating function (with a linear phase

Diffraction of an electromagnetic wave by gaps between plates of the sought function. Some singular integrals involving generalized Chebyshev polynomials are analytically

Estimate of the norm of the Lagrange interpolation operator in the multidimensional weighted Sobolev space of multi-indices, the interpolating polynomials converge to the interpolated function and the rate

Estimate of the norm of the Lagrange interpolation operator in the multidimensional weighted Sobolev space of multi-indices, the interpolating polynomials converge to the interpolated function and the rate

Sufficient conditions for existence and uniqueness of a Chebyshev center of a nonempty bounded set in a geodesic spaceWe obtain sufficient conditions for existence and uniqueness of a Chebyshev center of a nonempty

МАТРИЧНОЕ ОБОБЩЕННОЕ ИНТЕРПОЛИРОВАНИЕ ЭРМИТА – БИРКГОФА С ОДНИМ СПЕЦИАЛЬНЫМ УЗЛОМ ПО ОБЩЕЙ ЧЕБЫШЕВСКОЙ СИСТЕМЕ ФУНКЦИЙ Chebyshev System of Functions

Numerical solution of first-order exact differential equations by the integrating factor method; [Численное решение дифференциальных уравнений первого порядка в полных дифференциалах методом интегрирующего множителя] on the efficient calculation of integrating factors and on a "new" numerical method for integrating functions

Multistage pseudo-spectral method (method of collocations) for the approximate solution of an ordinary differential equation of the first order of Chebyshev polynomials is considered. A new approach to constructing systems of linear algebraic equations

Chebyshev polynomial iterations and approximate solutions of linear operator equationsUsing several types of reversed Hölder inequalities (which hold for functions defined on (0,infty

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