A common generalization of infinite sum, unordered sum and integral

Attila Losonczi

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arXiv · 2109.02423

A common generalization of infinite sum, unordered sum and integral

Attila Losonczi

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Abstract

We present a common ground for infinite sums, unordered sums, Riemann/Lebesgue integrals, arc length and some generalized means. It is based on extending functions on finite sets using Hausdorff metric in a natural way.

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Attila Losonczi. 2021-09-30. A common generalization of infinite sum, unordered sum and integral. https://arxiv.org/abs/2109.02423

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