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Any interior point of a finite interval on the real line can be interpreted as dual Fréchet means (2511.21173v1)
Published 26 Nov 2025 in cs.CG and cs.IT
Abstract: In this note, we show that any interior point of an open interval on the real line can be interpreted as a pair of dual Fréchet quasi-arithmetic means associated with dual metric distances. A Riemannian interpretation of the Euclidean line brings to light a novel concept of dual scales of means, grounded in convex duality and of independent interest.
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