A conjecture of M. Golomb on optimal and nearly-optimal linear approximation
From MaRDI portal
Publication:4046542
DOI10.1090/S0002-9904-1974-13676-1zbMath0294.41019OpenAlexW1985605943WikidataQ123223824 ScholiaQ123223824MaRDI QIDQ4046542
Publication date: 1974
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9904-1974-13676-1
Trigonometric approximation (42A10) Convergence and divergence of series and sequences (40A05) Best approximation, Chebyshev systems (41A50) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)
Related Items
Approximation of classes \(B^\Omega_{p,\theta}\) of periodic functions in several variables by linear methods ⋮ The fundamental theorem of best approximation for logarithmic and exponential orders ⋮ On conditions for and the order of approximation of functions by operators of class \(S_{2m}\) ⋮ Best approximation with exponential orders and intermediate spaces ⋮ Trigonometric approximation with exponential error orders. I: Construction of asymptotically optimal processes; generalized de la Vallee Poussin sums ⋮ On certain properties of linear summation methods of Fourier series on the class C(epsilon) ⋮ Comparison of the orders of approximation of the function classes \(W^ RH_{\omega}\)
Cites Work