The Extension of a Modified Integral Operator To a Class of Generalized Functions

Abstract

In this paper, we investigate a class of modified 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 modified G-transform is partially sharing the classical transform with some general properties. An inversion formula is also discussed on the generalized sense. © 2018 by Eudoxus Press, LLC. All rights reserved.