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A sharp error estimate of the best approximation by algebraic polynomials in the weighted space L2(-1, 1)We obtain an exact error estimate of the best approximation by algebraic polynomials

Determination of the polynomial uniformizing a given compact Riemann surfaceAn approximate method for finding the polynomial uniformizing a given Riemann surface is proposed

Sharp estimates for the polynomial approximation in weighted Sobolev spaces approximation of functions by algebraic polynomials on an interval, the half-line, and the entire line

ПРИМЕНЕНИЕ МЕТОДОВ ИНТЕРПОЛЯЦИИ И АППРОКСИМАЦИИ В ТРУБОПРОВОДНОМ ТРАНСПОРТЕ УГЛЕВОДОРОДОВ transport of hydrocarbons. Methods of interpolation and approximation are considered in relation

ПРИМЕНЕНИЕ МЕТОДОВ ИНТЕРПОЛЯЦИИ И АППРОКСИМАЦИИ В ТРУБОПРОВОДНОМ ТРАНСПОРТЕ УГЛЕВОДОРОДОВ of hydrocarbon transportation through pipelines. Interpolation and approximation methods are analyzed

Fourier series for the multidimensional-matrix functions of the vector variable) polynomials is developed. The known results from the theory of the orthogonal polynomials of the vector

Sharp estimates for the polynomial approximation in weighted Sobolev spaces approximation of functions by algebraic polynomials on an interval, the half-line, and the entire line

On critical values of polynomials with real critical pointsLet f be a polynomial of degree at least 2 with f(0)=0 and f′(0)=1. Suppose that all the zeros of f

About the convergence of the general projection polynomial method for a class of periodic fractional-integral equations polynomial method for solution of periodical fractional integral equations in two Holder spaces.

On justification of general polynomial projection method for solving periodic fractional integral equations© 2015, Pleiades Publishing, Ltd. In this paper we subtantiate a general polynomial projection

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