The controlled convergence theorem for the GAP-integral

In: Mathematica Slovaca, vol. 65, no. 5

D. K. Ganguly - Ranu Mukherjee

Detaily:

Rok, strany: 2015, 1013 - 1026

Kľúčové slová:

approximate full cover, density point, $\Delta$-division, GAP-integral, Saks-Henstock lemma, uniformly approximate strong Lusin condition, equi-GAP integrable

DOI: https://doi.org/10.1515/ms-2015-0069

O článku:

The concept of the GAP-integral was introduced by the authors [GANGULY, D. K.—MUKHERJEE, R.: \textit{The generalized approximate Perron integral}, Math. Slovaca \textbf{58} (2008), 31–42]. In this paper we prove the controlled convergence theorem for the GAP-integral and deduce other convergence theorems as corollaries.

Ako citovať:

ISO 690:

Ganguly, D., Mukherjee, R. 2015. The controlled convergence theorem for the GAP-integral. In Mathematica Slovaca, vol. 65, no.5, pp. 1013-1026. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0069

APA:

Ganguly, D., Mukherjee, R. (2015). The controlled convergence theorem for the GAP-integral. Mathematica Slovaca, 65(5), 1013-1026. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0069

O vydaní:

Publikované: 1. 10. 2015