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Mathematical Communications, Vol. 11 No. 1, 2006.

Original scientific paper

Partitions of sets and the Riemann integral

Š. Ungar

Full text: english pdf 109 Kb

page 55-61

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Abstract

We will discuss the definition of the Riemann integral using general partitions and give an elementary explication, without resorting to nets, generalized sequences and such, of what is meant by saying that "the Riemann integral is the limit of Darboux sums when the mesh of the partition approaches zero".

Keywords

Riemann integral; Jordan measure; limit over partitions

Hrčak ID:

4176

URI

https://hrcak.srce.hr/4176

Publication date:

20.7.2006.

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