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math.GM2021
Small perturbations on means and quasi-means
Attila Losonczi
We start to investigate how small changes on the definition of ordinary means affect their properties. Especially the property of being a mean. In that direction we are looking for…
math.GM2021
A common generalization of infinite sum, unordered sum and integral
Attila Losonczi
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 u…