Affiliation:
1. Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, INDIA
Abstract
Abstract
The concept of the GAP-integral was introduced by the authors [GANGULY, D. K.-MUKHERJEE, R.: The generalized approximate Perron integral, Math. Slovaca 58 (2008), 31-42]. In this paper we prove the controlled convergence theorem for the GAP-integral and deduce other convergence theorems as corollaries.