On the power mean inequality of the hyperbolic metric of unit ball

Authors

  • Barkat Ali Bhayo Department of Mathematics & Statistics, Quaid-e-Awam University of Engineering Science & Technology, Nawabshah, Pakistan.

Keywords:

Power Mean, inequalities, hyperbolic metric, distortion function

Abstract

The hyperbolic distances from the origin are changed under the radial selfmapping x→|x|1/K−1xx→|x|1/K−1x, K>1K>1 of the unit ball. Here author gives the power mean inequality of the hyperbolic metric under the radial mapping.

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Published

2012-12-31

Issue

Vol. 8 No. 1 (2012): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

On the power mean inequality of the hyperbolic metric of unit ball. (2012). Journal of Prime Research in Mathematics, 8(1), 45 – 50. https://jprm.sms.edu.pk/index.php/jprm/article/view/79