Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

An Innovative Method for Approximating Arcsine Function

Version 1 : Received: 23 July 2022 / Approved: 26 July 2022 / Online: 26 July 2022 (05:57:53 CEST)

How to cite: Othman, S.B.; Bagul, Y.J. An Innovative Method for Approximating Arcsine Function. Preprints 2022, 2022070388. https://doi.org/10.20944/preprints202207.0388.v1 Othman, S.B.; Bagul, Y.J. An Innovative Method for Approximating Arcsine Function. Preprints 2022, 2022070388. https://doi.org/10.20944/preprints202207.0388.v1

Abstract

This paper presents a new method for approximating the classical arcsine function. The proposed approximating methodology is simpler in its approach than other classical approaches and undeniably innovative. It is based on matrix representation besides the basic interpolation to approximate the inverse trigonometric function. It provides an efficient model which allows for reliable and precise calculations. The results are as per our knowledge unseen results in the previous literature.

Keywords

arcsine function; approximation; interpolation; Shafer-Fink inequality; padé approximants

Subject

Computer Science and Mathematics, Computational Mathematics

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