- The principal result of this paper is the following Markov-type inequality for Müntz polynomials. Theorem (Newman's Inequality in Lp[a, b] for [a, b]⊂(0, ∞)).LetΛ(λj)∞j=0be an increasing sequence of nonnegative real numbers. Supposeλ0=0 and there exists aδ>0 so thatλj≥δjfor each j. Suppose 00 does not seem to be obtainable in any straightforward fashion from the [0, b] case. © 2000 Academic Press.