TY - JOUR AU - Acquistapace, Francesca AU - Andradas Heranz, Carlos AU - Broglia, Fabrizio PY - 2002 SN - 0019-2082 UR - https://hdl.handle.net/20.500.14352/57152 T2 - Illinois Journal of Mathematics AB - In this note we prove two Positivstellensatze for definable functions of class C-r, 0 less than or equal to r < &INFIN;, in any o-minimal structure S expanding a real closed field R. Namely, we characterize the definable functions that are nonnegative... LA - eng M2 - 685 PB - University of Illinois KW - Positivstellensatz KW - definable functions KW - o-minimal structure KW - real closed field TI - The Positivstellensatz for definable functions on O-minimal structures TY - journal article VL - 46 ER -