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Estimate of the norm of the Lagrange interpolation operator in the multidimensional weighted Sobolev space in the multidimensional weighted Sobolev space is obtained. It is shown that, under a certain choice of the sequence

Estimate of the norm of the Lagrange interpolation operator in the multidimensional weighted Sobolev space in the multidimensional weighted Sobolev space is obtained. It is shown that, under a certain choice of the sequence

Functions of minimal norm with the given set of Fourier coefficients of the minimum norm function ∥ . ∥ ∞ with a given set of initial coefficients of the trigonometric Fourier series

Orthogonal Polynomials and Fourier Series for Functions of Vector Variable: Multidimensional-Matrix Approach. The analytical expressions for the coefficients of the second degree orthogonal polynomials and Fourier series

Fourier series for the multidimensional-matrix functions of the vector variable of the vector argument by the Fourier series on the orthogonal mdm polynomials is realized programmatically

On solving coherent dynamics equations with discrete mathematics method for quantum systems under laser excitation – probability amplitudes a[n](t) of a quantum system are represented with Fourier images F[n] (ω) ,i

Discrete Transformation of Mesh Functions Values to Fourier Polynomials Coefficients of coefficients of functions expansion by Zernike polynomials when knowing approximately measured their mesh

Flow polynomials as Feynman amplitudes and their α-representation conjectured in 1997 that the number of nonzero values of s(α, G) is a polynomial in q for all graphs

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

Comparison of approximation quality of earth’s surface for different landform types (On examples of algebraic and trigonometric trends) Fourier transform (trigonometric polynomial, TP). The article aims to show that method's differences

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