On Marcinkiewicz-Zygmund-type inequalities for irregular knots in Lp spaces, 0 < p < = $\infty$

Preprint series: 98-04, Analysis

The paper is published: Math. Nachr., 189, 209-220, 1998

MSC:
42A05 Trigonometric polynomials, inequalities, extremal problems

Abstract: An equivalence of a discrete norm and a continuous norm of a trigonometric polynomial is
proved for the case of irregular knots in $L_p \,$- spaces, where $\;0< p \le +\infty .$

Keywords: discrete and continuous quasi-norms