Preprint Short Note Version 1 Preserved in Portico This version is not peer-reviewed

On Bounds of the Sine and Cosine along a Circle on the Complex Plane

Version 1 : Received: 15 March 2020 / Approved: 16 March 2020 / Online: 16 March 2020 (09:51:10 CET)

How to cite: Qi, F. On Bounds of the Sine and Cosine along a Circle on the Complex Plane. Preprints 2020, 2020030261 (doi: 10.20944/preprints202003.0261.v1). Qi, F. On Bounds of the Sine and Cosine along a Circle on the Complex Plane. Preprints 2020, 2020030261 (doi: 10.20944/preprints202003.0261.v1).

Abstract

In the paper, the author finds bounds of the sine and cosine along a circle on the complex plane in terms of two double inequalities for the norms of the sine and cosine along a circle on the complex plane.

Keywords

bound; double inequality; norm; sine function; cosine function; circle; complex plane

Comments (1)

Comment 1
Received: 15 May 2021
Commenter: Feng Qi (Click to see Publons profile: )
Commenter's Conflict of Interests: I am the author of this paper
Comment: This manuscript has been formally published as follows:

Feng Qi, \textit{On bounds for norms of sine and cosine along a circle on the complex plane}, Kragujevac Journal of Mathematics \textbf{48} (2024), no.~2, 255\nobreakdash--266; available online at \url{https://doi.org/10.46793/KgJMat2402.255Q}.

https://imi.pmf.kg.ac.rs/kjm/pdf/accepted-finished/dd339542437be5d3ed45d673d4fbcf3a_2536_05122021_011230/kjm_48_2-6.pdf
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