RT Journal Article T1 Entire unbounded functions on Banach spaces with a monotone Schauder basis. A1 Martínez Ansemil, José María A1 Aron, Richard M. A1 Ponte Miramontes, María Del Socorro AB In this work we investigate the inverse approximation problems in the Lebesgue and Smirnov spaces with weights satisfying the so-called Muckenhoupt's Ap condition in terms of the -th mean modulus of smoothness, > 0. We obtain a converse theorem of trigonometric approximation in the weighted Lebesgue spaces and obtain some converse theorems of algebraic polynomial approximation in the weighted Smirnov spaces. PB Romanian Academy SN 1222-9016 YR 2012 FD 2012 LK https://hdl.handle.net/20.500.14352/43946 UL https://hdl.handle.net/20.500.14352/43946 LA eng DS Docta Complutense RD 9 abr 2025