The Marcinkiewicz-Zygmund inequality with derivative for an algebraic poly-nomial of order≤N=(q+1)n-1 is established in a Bα space.As a corollary,the Marcinkiewicz-Zygmund inequality with derivative for an algebraic polynomial in a par-ticular Orlicz space is obtained.
The Marcinkiewicz-Zygmund inequality with derivative for an algebraic polynomial of order < N = (q + 1)n - 1 is established in a Ba space. As a corollary, the Marcinkiewicz-Zygmund inequality with derivative for an algebraic polynomial in a particular Orlicz space is obtained.