Abstract
The possibility (subject to certain restrictions) of solving the following approximation and interpolation problem with a given set of âMuntz polynomialsâ on a real interval is demonstrated: (i) approximation of a continuous function by a âcopositiveâ Muntz polynomial; (ii) approximation of a continuous function by a âcomonotoneâ Muntz polynomial; (iii) approximation of a continuous function with a monotone
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