Abstract
For a new Perron-type integral a concept of convergence is introduced such that the limit f of a sequence of integrable functions \(f_k ,k \in \mathbb{N}\) is integrable and any integrable f is the limit of a sequence of stepfunctions \(g_k ,k \in \mathbb{N}\).
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References
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Jarník, J., Kurzweil, J. Another Perron type integration in n dimensions as an extension of integration of stepfunctions. Czechoslovak Mathematical Journal 47, 557–575 (1997). https://doi.org/10.1023/A:1022423803986
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DOI: https://doi.org/10.1023/A:1022423803986