Sharp exponential approximate inequalities for trigonometric functions

DOI10.1007/s00025-016-0566-3zbMath1373.26018OpenAlexW2436458122WikidataQ115609482 ScholiaQ115609482MaRDI QIDQ2410811

Yusuke Nishizawa

Publication date: 19 October 2017

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

Full work available at URL: https://doi.org/10.1007/s00025-016-0566-3

zbMATH Keywords

trigonometric functionmonotonically decreasing functionmonotonically increasing functionCusa-Huygens inequalityChen-Sandor inequality

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15) Inequalities for trigonometric functions and polynomials (26D05)

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Cites Work

• A refinement of the Becker-Stark inequalities
• Sharp Cusa and Becker-Stark inequalities
• Sharpness of Wilker and Huygens type inequalities
• Sharpening the Becker-Stark inequalities
• Sharp Becker-Stark-type inequalities for Bessel functions
• Refinements of Jordan-Stečkin and Becker-Stark inequalities
• EXTENDED CONSTANT PARTS OF WILKER TYPES AND CUSA-HUYGENS TYPES INEQUALITIES
• Simple proofs of the Cusa-Huygens-type and Becker-Stark-type inequalities
• On Wilker and Huygens type inequalities
• On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker, and Huygens inequalities
• The natural approach of Wilker-Cusa-Huygens inequalities
• Sharp inequalities for trigonometric and hyperbolic functions
• Analytic Inequalities

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