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Kolmogorov widths of the class $W_1^1$

math.FA · 2025-02-10 · accept · novelty 7.0

The Kolmogorov n-width of W_1^1[0,1] in L_q[0,1], 2<q<∞, is of order n^{-1/2} log n, settling the last open case of the classical width classification.

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  • Kolmogorov widths of the class $W_1^1$ math.FA · 2025-02-10 · accept · none · ref 1

    The Kolmogorov n-width of W_1^1[0,1] in L_q[0,1], 2<q<∞, is of order n^{-1/2} log n, settling the last open case of the classical width classification.