On the Existence of Functions with Prescribed Best $L_1$ Approximations

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This paper gives a partial answer to a problem of Rivlin in $L_1$ approximation.
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On the Existence of Functions with Prescribed Best $L_1$ Approximations. (2021). Journal of Computational Mathematics, 1(4), 341-345. https://gsp.tricubic.dev/JCM/article/view/10739