Czechoslovak Mathematical Journal, Vol. 49, No. 4, pp. 817-823, 1999

# A Daniell integral approach to nonstandard Kurzweil-Henstock integral

## Ricardo Bianconi, Joao C. Prandini, Claudio Possani

Universidade de Sao Paulo - Instituto de Matematica e Estatistica - Caixa Postal 66 281 - CEP 05315-970 Sao Paulo, SP, Brasil, e-mail: bianconi@ime.usp.br, prandini@ime.usp.br

Abstract: A workable nonstandard definition of the Kurzweil-Henstock integral is given via a Daniell integral approach. This allows us to study the HL class of functions from \cite{lanzhou}. The theory is recovered together with a few new results.

Classification (MSC 1991): 03H05, 26E35, 26A39

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