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Xia, W.-F. and Chu, Y.-M. (2010) Optimal Inequalities Related to the Logarithmic, Identric, Arithmetic and Harmonic Means. Revue d’Analyse Numerique et de Theorie de l’Approximation, 39, 176-183.

has been cited by the following article:

• TITLE: Sharps Bounds for Power Mean in Terms of Contraharmonic Mean

  AUTHORS: Zeid I. Almuhiameed

  KEYWORDS: Sharps Bounds, Power Mean, Contraharmonic Mean

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.7, July 8, 2020

  ABSTRACT: In this research work, we consider the below inequalities: (1.1). The researchers attempt to find an answer as to what are the best possible parameters α, βthat (1.1) can be held? The main tool is the optimization of some suitable functions that we seek to find out. Without loss of generality, we have assumed that a > b and let for 1) and a b, (t small) for 2) to determine the condition for αand βto become f(t) ≤ 0 and g(t) ≥ 0.