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Sharp inequalities for hyperbolic functions and circular functions

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Publication:2067989
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DOI10.1186/s13660-019-2177-5zbMath1499.26054OpenAlexW2969476159MaRDI QIDQ2067989

Ling Zhu

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2177-5


zbMATH Keywords

inequalitieshyperbolic functionscircular functions


Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)


Related Items (3)

Sharper bounds and new proofs of the exponential function with cotangent ⋮ Unnamed Item ⋮ Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios



Cites Work

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  • A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers
  • Sharp inequalities for trigonometric functions
  • Sharp inequalities for hyperbolic functions
  • Some new inequalities for means in two variables
  • An Optimal Two Parameter Bounds for the Identric Mean
  • The Power and Generalized Logarithmic Means
  • Generalizations of the Logarithmic Mean


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