Oona Rainio

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math.MG2023

Intrinsic metrics defined with arithmetic and logarithmic mean values

Oona Rainio, Rahim Kargar

We introduce several new functions that measure the distance between two points $x$ and $y$ in a domain $G ⊊ R^{n}$ by using the arithmetic or the logarithmic mean of…

math.MG2023

Inequalities for the generalized point pair function

Oona Rainio

We study a new generalized version of the point pair function defined with a constant $α > 0$ . We prove that this function is a quasi-metric for all values of $α > 0$ , and compare it t…