Abstract
One of the main results of this paper is the following Whitney theorem of interpolatory type for k-monotone functions (i.e., functions f such that divided differences f[x 0,…, x k ] are nonnegative for all choices of (k + 1) distinct points x 0,…, x k .
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Communicated by Vilmos Totik.
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Kopotun, K.A. Whitney theorem of interpolatory type for k-monotone functions. Constr. Approx 17, 307–317 (2001). https://doi.org/10.1007/s003650010031
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DOI: https://doi.org/10.1007/s003650010031