Quaternion space of Boehmians connected with the Sumudu transform

Abstract

Quaternions are coordinates for rotations and orientations. Quaternions have been expanded to include new curve methods and some applications, including physically based modeling, constraint systems, and user interfaces. In the present paper, we give the definition and derive certain properties of a well defined space of quaternions, named as the quaternion space of Boehmians. We investigate certain class of quaternions for a class of Sumudu transforms. The extended Sumudu transform is therefore well recognized and satisfy certain desired properties. A new convergence equipped with the generalized space is also defined.