Minimizing the (L sub p, infinity) -Distortion of Trigonometric Polynomials

The characterization of the trigonometric polynomial of degree or = n minimizing the ratio absolute value/f/sub p/absolute value/f/sub infinity, is presented. Properties of the zeros of such polynomials are then explored.

Saved in:
Bibliographic Details
Main Author: Ziegler,Zvi
Format: Report
Language:English
Subjects:
APPROXIMATION(MATHEMATICS)
Numerical Mathematics
PERIODIC FUNCTIONS
POLYNOMIALS
THEOREMS
TRANSFORMATIONS(MATHEMATICS)
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The characterization of the trigonometric polynomial of degree or = n minimizing the ratio absolute value/f/sub p/absolute value/f/sub infinity, is presented. Properties of the zeros of such polynomials are then explored.