Sharp bounds on the sinc function via the Fourier series method

DOI10.7153/jmi-2019-13-33zbMath1425.41002OpenAlexW2947111223WikidataQ127802235 ScholiaQ127802235MaRDI QIDQ5244225

Gabriel Bercu

Publication date: 20 November 2019

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2019-13-33

zbMATH Keywords

Fourier seriestrigonometric inequalitiessinc function

Mathematics Subject Classification ID

Padé approximation (41A21) Inequalities for sums, series and integrals (26D15) Fourier series and coefficients in several variables (42B05) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (1)

Generalized bounds for sine and cosine functions

Cites Work

• Refinements of Jordan's inequality
• Six new Redheffer-type inequalities for circular and hyperbolic functions
• Sharpening Redheffer-type inequalities for circular functions
• Refinements, generalizations, and applications of Jordan's inequality and related problems
• New strengthened Jordan's inequality and its applications
• Refinements of Jordan-Stečkin and Becker-Stark inequalities
• A further refinement of a Jordan type inequality and its application
• Some refined families of Jordan-type inequalities and their applications
• A new refined Jordan's inequality and its application
• Sharp inequalities for trigonometric and hyperbolic functions
• Analytic Inequalities
• Unnamed Item

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