A Class of Extremal Functions and Trigonometric Polynomials
Document Type
Article
Publication Date
3-1-1997
Department
Department of Mathematical Sciences
Abstract
In this paper we present two classes of extremal approximating functions. These functions have the property that they are entire, have finite exponential type, and provide excellent approximations along the real line for a specific set of functions. One class of functions provides majorants and minorants, while the other class minimizes theL1-norm on the real line. As applications we construct extremal trigonometric polynomials and obtain an inequality involving almost periodic trigonometric polynomials.
Publication Title
Journal of Approximation Theory
Recommended Citation
Holt, J.
(1997).
A Class of Extremal Functions and Trigonometric Polynomials.
Journal of Approximation Theory,
88(3), 275-303.
http://doi.org/10.1006/jath.1996.3020
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/3957