A note on the Kluvánek Integral

Abstract

For real valued functions, Igor Kluvánek has introduced an integral, called Archimedean,
which is equivalent to the Lebesgue integral. It is based on the summation
of infinite series and it avoids measure. Modifying the definition by Kluvánek, we
introduce an integral which has some good and some bad properties and we compare
it with the Lebesgue integral.