Approximation properties of generalized Fup-functions

І. В. Брисіна, В. О. Макарічев

Abstract


Generalized Fup-functions are considered. Almost-trigonometric basis theorem is proved. Spaces of linear combinations of shifts of the generalized Fup-functions are constructed and an upper estimate of the best approximation of classes of periodic differentiable functions by these spaces in the norm of $L_2[-\pi,\pi]$ is obtained.

Keywords


function with a compact support; approximation of periodic functions; up-function; Kolmogorov width; best approximation; generalized Fup-function

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