Shafer–Fink type inequalities for arc lemniscate functions

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Inequalities for Jacobian elliptic functions and Gauss lemniscate functions

A new proof of inequalities involving Jacobian elliptic functions and their inverse functions are obtained. Similar results for the Gauss lemniscate functions are also established. Upper bounds for the inverse Jacobian elliptic functions and for the Gauss arc lemniscate functions are derived. 2012 Elsevier Inc. All rights reserved.

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ژورنال

عنوان ژورنال: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

سال: 2020

ISSN: 1578-7303,1579-1505

DOI: 10.1007/s13398-020-00782-x