THE EXTENSION OF A MODIFIED INTEGRAL OPERATOR TO A CLASS OF GENERALIZED FUNCTIONS

摘要

In this paper, we investigate a class of modi fied G-transforms having G-functions as kernels on a generalized space of sequences. We derive certain spaces of generalized functions named as Boehmians to legitimate the existence of the described integral. The modi fied G-transform is partially sharing the classical transform with some general properties. An inversion formula is also discussed on the generalized sense.