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In my paper, an inaccuracy occurs on p. 460 in Example 2 in the definition of the function \(h_0\). On the closed interval \([7/8,1]\), the function must be defined as follows: \(h_0(x)=\sqrt{8x-6}\) for \(x\in[7/8,15/16]\), \(h_0(x)=\sqrt{24-24x}\) for \(x\in[15/16,1]\); at the other points the values of~$h_0$ remain the same. With this definition of \(h_0\), the functions \(h_0\) and \(h_1\) are orthogonal (which was not the case in the paper), and the theorem (Example 2) holds. We must also replace \([1/8,1]\) by \([1/8,7/8]\) in the fourth line from below on p. 460. There is no need to change anything in the proof.
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I. V., L. Erratum to: Exact Discretization of the \(L_2\)-Norm with Negative Weight. Math Notes 112, 1078 (2022). https://doi.org/10.1134/S0001434622110414
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DOI: https://doi.org/10.1134/S0001434622110414