Estimates for approximations by Fourier sums, best approximations and best orthogonal trigonometric approximations of the classes of (, β)-differentiable functions

Abstract

We obtain the exact-order estimates for approximations by Fourier sums, best approximations and best orthogonal trigonometric approximations in metrics of spaces Ls, 1≤ s<∞, of classes of 2π-periodic functions, whose (,β)-derivatives belong to unit ball of the space L∞.

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