SHARP BOUNDS FOR TRIGONOMETRIC POLYNOMIALS IN TWO VARIABLES

DOI10.1142/S0219530509001426zbMath1180.42002MaRDI QIDQ3646142

Horst Alzer, Xi-Quan Shi

Publication date: 19 November 2009

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

inequalitiestrigonometric polynomials

Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (5)

Sharp estimates for various trigonometric sums ⋮ A new method for sharpening the bounds of several special functions ⋮ Inequalities for trigonometric sums in two variables ⋮ A sharp inequality for a trigonometric sum ⋮ Sharp upper and lower bounds for a sine polynomial

Cites Work

• Unnamed Item
• On the partial sums of a Fourier series
• A class of positive trigonometric sums
• Inequalities of Fejér-Jackson type
• Companions of the inequalities of Fejér-Jackson and Young
• Inequalities for two sine polynomials
• Vorzeicheneigenschaften der Abschnitte einiger physikalisch bedeutsamer Reihen
• A sharp bound for a sine polynomial
• SUB- AND SUPERADDITIVE PROPERTIES OF FEJÉR'S SINE POLYNOMIAL
• A NEW REFINEMENT OF YOUNG'S INEQUALITY
• Nonnegative trigonometric polynomials

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