Bounds for sine and cosine via eigenvalue estimation

DOI10.2478/spma-2014-0003zbMath1291.15049OpenAlexW2008027864MaRDI QIDQ2017192

Mika Mattila, Pentti Haukkanen, Jorma Kaarlo Merikoski, Alexander Kovačec

Publication date: 25 June 2014

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/spma-2014-0003

zbMATH Keywords

eigenvalue boundstrigonometric inequalities

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (1)

Studying the various properties of MIN and MAX matrices -- elementary vs. more advanced methods

Cites Work

• Refinements of Jordan's inequality
• Refinements, generalizations, and applications of Jordan's inequality and related problems
• On discrete inequalities of Wirtinger's type
• A new refined form of Jordan's inequality and its applications
• Two inequalities in nonnegative symmetric matrices
• Discrete analogs of inequalities of Wirtinger
• Improving certain simple eigenvalue bounds
• Chebychev Polynomials and Regular Polygons
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