New approximation inequalities for circular functions

DOI10.1186/S13660-018-1910-9zbMath1498.26031OpenAlexW2901628290WikidataQ59799109 ScholiaQ59799109MaRDI QIDQ824881

Ling Zhu, Marija Nenezić

Publication date: 15 December 2021

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

Full work available at URL: https://doi.org/10.1186/s13660-018-1910-9

zbMATH Keywords

Bernoulli numberscircular functionsexponential approximation inequalitiesMitrinovic-Adamovic inequality

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Inequalities for sums, series and integrals (26D15) Approximation by polynomials (41A10) Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)

Related Items (5)

Improved bounds of Mitrinović-Adamović-type inequalities by using two-parameter functions ⋮ Sharp inequalities of Iyengar-Madhava Rao-Nanjundiah type including cos(x/√3 + ax^r) ⋮ New bounds of Wilker- and Huygens-type inequalities for inverse trigonometric functions ⋮ Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios ⋮ A family of Wilker's inequalities in two parameters and its applications

Cites Work

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• A method for proving some inequalities on mixed trigonometric polynomial functions
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• Sharp inequalities for trigonometric and hyperbolic functions

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