Inequalities for alternating trigonometric sums

DOI10.1007/S00025-012-0264-8zbMath1272.26008OpenAlexW2041968290MaRDI QIDQ351124

Horst Alzer, Xi-Quan Shi, Xiu-ping Liu

Publication date: 11 July 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-012-0264-8

zbMATH Keywords

inequalitiesalternating trigonometric sumshypermetric spacessharp constant bounds

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Inequalities for sums, series and integrals (26D15) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (1)

A constructive method for approximating trigonometric functions and their integrals

Cites Work

• On the partial sums of a Fourier series
• Inequalities of Fejér-Jackson type
• Sharp inequalities for trigonometric sums in two variables
• Companions of the inequalities of Fejér-Jackson and Young
• Inequalities for two sine polynomials
• Sharp inequalities for trigonometric sums
• A sharp bound for a sine polynomial
• SUB- AND SUPERADDITIVE PROPERTIES OF FEJÉR'S SINE POLYNOMIAL
• Some monotonic trigonometric sums
• A NEW REFINEMENT OF YOUNG'S INEQUALITY
• Nonnegative trigonometric polynomials

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