2015/02/11 by Piazzon, Federico
#Complex Variables (math.CV) #FOS: Mathematics #Numerical Analysis (math.NA)
paper · doi:10.48550/arxiv.1502.03256
The Bernstein Markov Property, shortly BMP, is an asymptotic quan- titative assumption on the growth of uniform norms of polynomials or rational functions on a compact set with respect to L μ 2 -norms, where μ is a positive finite measure. We consider two variants of BMP for rational functions with restricted poles and compare them with the polynomial BMP finding out some sufficient condi- tions for the latter to imply the former. Moreover, we recover a sufficient mass- density condition for a measure to satisfy the rational BMP on its support.