Approximation of functions by discrete Fourier sums in polynomials orthogonal on a nonuniform grid with Jacobi weight

DOI10.1134/S0001434621090108zbMath1479.42005OpenAlexW3211056146MaRDI QIDQ2666610

M. S. Sultanakhmedov

Publication date: 23 November 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621090108

zbMATH Keywords

orthogonal polynomialsJacobi polynomialsapproximation propertiesLebesgue functionnonuniform gridFourier sum

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

• On an inequality of V. A. Markov for polynomials in the metric L
• Convergence of the method of least squares
• Convergence of Fourier sums in polynomials orthogonal on arbitrary grids
• The approximation of functions by partial sums of the Fourier series in polynomials orthogonal on arbitrary grids
• Two-sided estimates of Fourier sums Lebesgue functions with respect to polynomials orthogonal on nonuniform grids
• On the convergence of the least square method in case of non-uniform grids
• Approximation properties of mixed series in terms of Legendre polynomials on the classes $ {W^r}$
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Approximation of functions by discrete Fourier sums in polynomials orthogonal on a nonuniform grid with Jacobi weight