Abstract
We study the median of a continuous function on an interval and show that for certain spaces of functions there is a unique function in the space whose medians on given intervals take given values.
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Goodman, T.N., Yu, T.P. Interpolation of medians. Advances in Computational Mathematics 11, 1–10 (1999). https://doi.org/10.1023/A:1018959506235
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DOI: https://doi.org/10.1023/A:1018959506235