Approximating trigonometric functions by using exponential inequalities

DOI10.1186/s13660-019-1992-zzbMath1499.42006OpenAlexW2928220624WikidataQ115519157 ScholiaQ115519157MaRDI QIDQ2067769

Xiao-Diao Chen, Junyi Ma, Yixin Li

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/s13660-019-1992-z

zbMATH Keywords

trigonometric functionmonotonically decreasing functionmonotonically increasing functionChen-Sándor's inequalityCusa-Huygens's inequality

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (8)

Improved bounds of Mitrinović-Adamović-type inequalities by using two-parameter functions ⋮ New bounds of sinc function by using a family of exponential functions ⋮ Tighter bounds for the inequalities of sinc function based on reparameterization ⋮ New inequalities of Mitrinović-Adamović type ⋮ Some new results of Mitrinović-Cusa's and related inequalities based on the interpolation and approximation method ⋮ Some new bounds for Sinc function by simultaneous approximation of the base and exponential functions ⋮ A minimax approximant in the theory of analytic inequalities ⋮ Some new estimates of precision of Cusa-Huygens and Huygens approximations

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