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

K Kobindarajah

Abstract: Let 1 & lt; p & lt; & infin; and 0 & leq; & alpha; & lt; & beta; & leq; 2 & pi;. Let & alpha; = 1 & lt; 2 & lt; 3 & lt; & lt; = & beta; and let & Delta; = { & theta;: & theta; & epsilon; [ & alpha;, & beta;]}. For a generalized nonnegative algebraic polynomial of (generalized) degree & leq;

Keywords: Large sieve, Generalized Polynomial, Arcs of the Circle