ON THE BEST POLYNOMIAL APPROXIMATIONS OF 2π-PERIODIC FUNCTIONS AND EXACT VALUES OF n-WIDTHS OF FUNCTIONAL CLASSES IN THE SPACE L2


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Abstract

To solve extremal problems of approximation theory in the space L2, we use τ-moduli introduced by Ivanov. We determine the exact values of constants in Jackson-type inequalities and the exact values of n-widths of functional classes determined by these moduli.

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