A note on the Kluávnek Integral

In: Tatra Mountains Mathematical Publications, vol. 49, no. 2

Štefan Tkačik - Beloslav Riečan

Detaily:

Rok, strany: 2011, 59 - 65

Kľúčové slová:

Lebesgue integral, Archimedean integral, summation of infinite series

O článku:

For real valued functions, Igor Kluv\'anek 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 Kluv\'anek, we introduce an integral which has some good and some bad properties and we compare it with the Lebesgue integral.

Ako citovať:

ISO 690:

Tkačik, Š., Riečan, B. 2011. A note on the Kluávnek Integral. In Tatra Mountains Mathematical Publications, vol. 49, no.2, pp. 59-65. 1210-3195.

APA:

Tkačik, Š., Riečan, B. (2011). A note on the Kluávnek Integral. Tatra Mountains Mathematical Publications, 49(2), 59-65. 1210-3195.