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Estimate of the norm of the Lagrange interpolation operator in the multidimensional weighted Sobolev space of convergence is of the order of the best approximation of this function by algebraic polynomials in this space.

Estimate of the norm of the Lagrange interpolation operator in the multidimensional weighted Sobolev space of convergence is of the order of the best approximation of this function by algebraic polynomials in this space.

Generalized interpolating polynomial operator An polynomial. During an operator construction the decomposition in Fourier series, the Weil operator

ANALYSIS AND SYNTHESIS OF THE CHEBYSHEV POLYNOMIALS IN THE REGRESSION ANALYSIS PROBLEMS orthogonal polynomials, or the Chebyshev polynomials, aimed to improve stability of approximated regression

Modeling and management of power supply enterprises' cash flows forecasting with the use of linear and polynomial regression has been developed. The study is based

Approximation by trigonometric polynomials in variable exponent Morrey spacesWe investigate the direct and inverse theorems for trigonometric polynomials in the Morrey space Mp

Generalized interpolating polynomial operator An polynomial. During an operator construction the decomposition in Fourier series, the Weil operator

Hardy spaces, approximation issues and boundary value problems. Approximation properties of the system of harmonic polynomials in ep (B;ρ)) are studied. © 2018, Eurasian

Orthogonal Polynomials and Fourier Series for Functions of Vector Variable: Multidimensional-Matrix Approach-matrix polynomials is developed. The known results from the theory of the orthogonal polynomials of the vector

Hermite–Fejer polynomials as an approximate solution of singular integro-differential equations
-differential equations with Gilbert kernel, the collocation method is justified. The approximate solution is sought

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