On Nevai's bounds for orthogonal polynomials associated with exponential weights

AbstractUsing ideas of Freud (j. Approx. Theory 19 (1977), 22–37) Mhaskar and Saff (Trans. Amer. Math. Soc. 285 (1984), 203–234, and Nevai (J. Approx. Theory 44, No. 1 (1985)), we obtain bounds for pn(x) − pn − 2(x) and related expressions, for all X ϵ R, where pn(x) is the orthonormal polynomial of degree n for the weight exp(−xm), m a positive even integer