Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616323 | Journal of Mathematical Analysis and Applications | 2013 | 16 Pages |
Abstract
In this paper we prove asymptotic formulas for the LpLp norms of Pn(θ)=∏k=1n(1−eikθ) and Qn(θ)=∏k=1n(1+eikθ). These products can be expressed using ∏k=1nsin(kθ2) and ∏k=1ncos(kθ2) respectively. We prove an estimate for PnPn at a point near where its maximum occurs. Finally, we give an asymptotic formula for the maximum of the Fourier coefficients of QnQn.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jordan Bell,