The current paper considers the problem of recovering a function using a lim- ited number of its Fourier coefficients.Specifically,a method based on Bemoulli-like poly- nomials suggested and developed by Krylov,Lanczos,Gottlieb and Eckhoff is examined. Asymptotic behavior of approximate calculation of the so-called'jumps'is studied and asymptotic L_2 constants of the rate of convergence of the method are computed.
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