Title of article
On the sum of sine products
Author/Authors
George Benke and Der-Chen Chang ?، نويسنده , , 1، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2003
Pages
9
From page
647
To page
655
Abstract
Given N 1 and d 1, we show the existence of positive integers λkj for 1 k N and 1
j d such that
N
k=1
d
j=1
sin λkj xj
CN(d+1)/(2d+1)
for all real x1, . . ., xN, where C is a constant that depends only on d. This extends a result of Bourgain
for the case d = 1.
2003 Elsevier Inc. All rights reserved
Keywords
Trigonometric polynomial , Sums of sines , Random variable , probability measure
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2003
Journal title
Journal of Mathematical Analysis and Applications
Record number
930744
Link To Document