Journal of Applied Mathematics and Physics

Volume 8, Issue 7 (July 2020)

ISSN Print: 2327-4352   ISSN Online: 2327-4379

Google-based Impact Factor: 0.70  Citations  

Sharps Bounds for Power Mean in Terms of Contraharmonic Mean

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DOI: 10.4236/jamp.2020.87093    177 Downloads   563 Views  

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, β that (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 α and β to become f(t) ≤ 0 and g(t) ≥ 0.

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Almuhiameed, Z. (2020) Sharps Bounds for Power Mean in Terms of Contraharmonic Mean. Journal of Applied Mathematics and Physics, 8, 1229-1235. doi: 10.4236/jamp.2020.87093.

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