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A common generalization of infinite sum, unordered sum and integral

Authors :
Losonczi, Attila
Publication Year :
2021

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.

Subjects

Subjects :
Mathematics - General Mathematics

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2109.02423
Document Type :
Working Paper

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