A strengthened Schwarz-pick inequality for derivatives of the hyperbolic metric
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Abstract
This paper is to investigate the Schwarz-Pick inequality for the hyperbolic derivative. Our result is not only a contraction but also a contraction minus a positive constant and this improves Beardon's theorem greatly.
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Yuan, W., Chen, D., & Wang, P. (2006). A strengthened Schwarz-pick inequality for derivatives of the hyperbolic metric. Tamkang Journal of Mathematics, 37(2), 131–134. https://doi.org/10.5556/j.tkjm.37.2006.157
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