A proof of Chen-Males̆ević’s conjecture

In this paper, we obtain a new inequality between the inverse hyperbolic tangent and inverse sine functions, which is a conjecture of Chen-Males̆ević [(Chen in Rev Real Acad Cienc. Exactas Fis. Nat. Ser. A-Mat 114:105, 2020) conjecture 2.1]spsCM.

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Bibliographic Details
Published in:	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Vol. 118; no. 3
Main Authors:	Wang, Fen, Xiao, Hai-Yan
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.07.2024
Subjects:	Applications of Mathematics Mathematical and Computational Physics Mathematics Mathematics and Statistics Original Paper Theoretical Generalized trigonometric functions Inverse sine function Inverse hyperbolic tangent function 26D15 26D05
ISSN:	1578-7303, 1579-1505
Online Access:	Get full text
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Summary:	In this paper, we obtain a new inequality between the inverse hyperbolic tangent and inverse sine functions, which is a conjecture of Chen-Males̆ević [(Chen in Rev Real Acad Cienc. Exactas Fis. Nat. Ser. A-Mat 114:105, 2020) conjecture 2.1]spsCM.
ISSN:	1578-7303 1579-1505
DOI:	10.1007/s13398-024-01637-5