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A New Mean?

Wei-Kai Lai ⟨laiw@mailbox.sc.edu⟩

Abstract:

While studying some inequalities of fractions, we encounters a new value. For fractions a1b1,a2b2,,anba, we define this new value by: m¯=a1++anb1++bn. It can be proved that this value is bounded between the maximum and the minimum of these fractions, like all other means. In this talk, we will compare this value with one of the most commonly used means, the Arithmetic Mean, and introduce some properties of this new value.

Scheduled for: 2025-02-28 03:00 PM: Contributed Paper Session I-2 #4 in Phillips 221

Status: Accepted

Collection: Contributed Papers

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