  In this paper, we introduce a new type of Szasz-Mirakjan operators, which
preserve a^x, a > 1 fixed and x\geq 0. We study uniform convergence of the
operators by using some auxiliary results and also error estimation is given.
The convergence of said operators are shown and analyzed by graphics, also in
the same direction, we find a better rate of convergence than Szasz-Mirakjan
operators by analyzing the graphics. Voronovskaya-type theorem is studied and a
comparison is shown under a sense of convexity with Szasz- Mirakjan operators.
In the last section, a modified sequence is constructed in the space of
integral function.
