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arxiv: 1905.11802 · v1 · pith:ERXK6QMOnew · submitted 2019-05-28 · 🧮 math.CA

Shafer-Fink type inequalities for arc lemniscate functions

classification 🧮 math.CA
keywords lemniscatefunctionsinequalitieshyperbolicshafer-finktypeinvestigateinvolving
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In this paper, we investigate the monotonicity and inequalities for some functions involving the arc lemniscate and the hyperbolic arc lemniscate functions. In particular, sharp Shafer-Fink type inequalities for the arc lemniscate and the hyperbolic arc lemniscate functions are proved.

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