Lower bounds for the merit factors of trigonometric polynomials from Littlewood classes Academic Article

abstract

• With the notation K := (mod 2), A formula is presented. We prove the following result. Theorem 1. Assume that p is a trigonometric polynomial of degree at most n with real coefficients that satisfies A formula is presented. Then M4(p) - M2 (p)EM2(p) with E := (1/111) (B/A)12. We also prove that M (1 + 2p) - M2 (1 + 2p) ( 4/3-1) M2(1 + 2p) and M2(p) - M1 (p) 10-31 M2 (p) for every p An, where An denotes the collection of all trigonometric polynomials of the form p(t) := pn(t) := j=1 n aj cos (jt + j), aj = 1, j . 2003 Elsevier Inc. All rights reserved.

authors

• Erdelyi, Tamas

published proceedings

• JOURNAL OF APPROXIMATION THEORY

author list (cited authors)

• Borwein, P., & Erdelyi, T.

citation count

• 1

complete list of authors

• Borwein, Peter||Erdélyi, Tamás

publication date

• December 2003

publisher

• Elsevier  Publisher

published in

• Journal of Approximation Theory  Journal

keywords

• Littlewood Class
• Merit Factor
• Trigonometric Polynomials
• Unimodular Trigonometric Polynomials

Digital Object Identifier (DOI)

• 10.1016/j.jat.2003.11.004

start page

• 190

end page

• 197

volume

• 125

issue

• 2

URL

• http://dx.doi.org/10.1016/j.jat.2003.11.004