Abstract.
In this work we investigate polynomials of maximal (minimal) arc-length in the interval [−1, 1] amongst all monic polynomials of fixed degree n with n real zeros in [−1, 1].
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Petrov, P. On an Extremal Problem About the Arc-Length of Algebraic Polynomials. Mh Math 147, 165–171 (2006). https://doi.org/10.1007/s00605-005-0335-y
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DOI: https://doi.org/10.1007/s00605-005-0335-y