We analyze the degree of shape preserving weighted polynomial approximation for exponential weights on the whole real line. In particular, we establish a Jackson type estimate. Keywords: Shape Preserving Polynomials, k-Monotone, Exponential Weights, Jackson Theorem, Freud Weights. AMS Classi
cation: 41A29, 41A17 Research supported by NSF grant DMS1001182 and US-Israel BSF grant 2008399 1. Intro...
