Abstract:We investigate properties of the m-th error of approximation by polynomials with constant coefficients D m (x) and with modulus-constant coefficients D * m (x) introduced by Berná and Blasco (2016) to study greedy bases in Banach spaces. We characterize when lim inf m D m (x) and lim inf m D * m (x) are equivalent to x in terms of the democracy and superdemocracy functions, and provide sufficient conditions ensuring that lim m D * m (x) = lim m D m (x) = x , extending previous very particular results. 2000 Mat… Show more
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