Marcinkiewicz-Zygmund Type Inequality on Arcs of the Circle for Generalized Polynomial

Let 1 < p < ∞ and 0 ≤ α < β ≤ 2π. Let α = ??1 < ??2 < ??3 < ? < ???? = β and let Δ= {????θ: θ ε [α, β]}. For a generalized nonnegative algebraic polynomial of (generalized) degree ≤