MATHEMATICA BOHEMICA, Vol. 129, No. 3, pp. 297-304 (2004)

A step to Kurzweil-Henstock - an outline

B. D. Craven

B. D. Craven, Dept. of Mathematics & Statistics, University of Melbourne, Victoria 3010, Australia, e-mail:

Abstract: A short approach to the Kurzweil-Henstock integral is outlined, based on approximating a real function on a compact interval by suitable step-functions, and using filterbase convergence to define the integral. The properties of the integral are then easy to establish.

Keywords: integral, Kurzweil-Henstock integral, step-function, filterbase

Classification (MSC2000): 26A39

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