Markov- and Bernstein-Type Inequalities for Müntz Polynomials and Exponential Sums in Lp Academic Article uri icon


  • 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.

author list (cited authors)

  • Erdélyi, T.

citation count

  • 5

publication date

  • May 2000