Refinement of some inequalities for means

Authors

  • Mira-Cristiana Anisiu Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy
  • Valeriu Anisiu "Babeş-Bolyai" University, Cluj-Napoca, Romania

Keywords:

inequalities, asymptotic developments, symbolic algebra

Abstract

We consider weighted arithmetic means as, for example, \(\alpha G+(1-\alpha)C,\) with \(\alpha\in(0,1)\), \(G\) \(C\) being the geometric and anti-harmonic means, and we find the range of values of \(\alpha\) for which the weighted mean is still greater or less than some suitable means, in this case the arithmetic and Hölder ones.

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Published

2006-02-01

How to Cite

Anisiu, M.-C., & Anisiu, V. (2006). Refinement of some inequalities for means. Rev. Anal. Numér. Théor. Approx., 35(1), 5–10. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2006-vol35-no1-art2

Issue

Vol. 35 No. 1 (2006)

Section

Articles

License

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.