Positivity of some basic cosine sums-Reference-Cited by-同舟云学术

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Positivity of some basic cosine sums

Published:1993-11 Issue:3 Volume:114 Page:383-391
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Brown Gavin,Wang Kun-Yang,Wilson David C.

Abstract

AbstractWe show that all partial sums of 1 + σk−α cos kθ are non-negative for α > α0, where 0·308443 < α0 < 0·308444 and α0 is the unique root of the equation

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. On a certain series of Fourier;Young;Proc. London Math. Soc,1912

2. [2] Brown G. and Wang K.-Y. . An extension of the Fejér-Jackson inequality, preprint (1991).

3. Über eine trigonometrische summe

4. Coefficients of trigonometric series with nonnegative partial sums;Belov;Mat. Zametki,1987

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