On some estimates for best approximations of bivariate functions by Fourier-Jacobi sums in the mean

DOI10.1134/S0965542517100037zbMath1382.41023OpenAlexW2766286863MaRDI QIDQ1702616

M. K. Kerimov, M. V. Abilov, E. V. Selimkhanov

Publication date: 28 February 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517100037

zbMATH Keywords

generalized modulus of continuityFourier-Jacobi sumsestimates of best approximationsfunctions in two variablesKolmogorov \(N\)-width.

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Cites Work

• Certain problems of the approximation of functions in two variables by Fourier-Hermite sums in the space \(L_2(\mathbb R^2,e^{-x^2-y^2})\)
• Estimating the diameter of one class of functions in \(L_ 2\)
• Mean approximation of functions by algebraic polynomials
• The best approximation of functions by algebraic polynomials
• Approximation of functions in the space \(L_ 2(\mathbb{R}^ N;{\text exp}(- | x|^ 2))\)
• Approximation of functions by Fourier-Laguerre sums
• Optimization of methods of solving ordinary differential equations with strongly oscillating solutions
• On some issues related to convergence of multiple Fourier series
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