SHARP BOUNDS FOR TRIGONOMETRIC POLYNOMIALS IN TWO VARIABLES-Reference-Cited by-同舟云学术

SHARP BOUNDS FOR TRIGONOMETRIC POLYNOMIALS IN TWO VARIABLES

Published:2009-10 Issue:04 Volume:07 Page:341-350
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

ALZER HORST¹,SHI XIQUAN²

Affiliation:

1. Morsbacher Str. 10, D-51545 Waldbröl, Germany

2. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901, USA

Abstract

Let n ≥ 1, x, y ∈ (0, π), and [Formula: see text] and [Formula: see text] In 1932, Koschmieder proved that Fn(x,y) > 0. We present the following inequalities: [Formula: see text] and [Formula: see text] All bounds are best possible.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530509001426

Reference25 articles.

1. Inequalities of Fej�r-Jackson Type

2. A sharp bound for a sine polynomial

3. Sharp inequalities for trigonometric sums in two variables

4. Companions of the inequalities of Fejér--Jackson and Young

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