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On Best Polynomial Approximations in the Spaces <i>S<sup>p</sup></i> and Widths of Some Classes of Functions
In the article are studied some problems of approximation theory in the spaces S p (1 ≤ p < ∞) introduced by A.I. Stepanets. It is obtained the exact values of extremal characteristics of a special form which connect the values of best polynomial approximations of functions e n -1 …