Optimal bounds for the sine and hyperbolic tangent means

Authors

  • Monika Nowicka , Alfred Witkowski

Abstract

We provide the optimal bounds for the sine and hyperbolic tangent means in terms of various weighted means of the arithmetic and root-mean square means.

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Published

2025-05-15

Issue

Vol. 52 No. 5 (2020)

Section

Articles

License

Copyright (c) 2020 Monika Nowicka , Alfred Witkowski

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Optimal bounds for the sine and hyperbolic tangent means. (2025). Punjab University Journal of Mathematics, 52(5), 77-88. https://pujm.pu.edu.pk/index.php/pujm/article/view/347