Approximation properties of the Post‐Widder operators preserving e 2 a x , a > 0

This paper deals with constructing the modified form of the Post‐Widder operators, which reproduce constant ande 2 a xfor fixed a > 0 . We discuss the uniform convergence of the constructed operators with the function f . We illustrate the convergence behaviour of the new operators with the selected function f . After that, we investigate the rate of convergence by using different types of the modulus of continuity and deal with a quantitative Voronovskaya‐type theorem. Finally, we compare our new constructed operators with Post‐Widder operators preservingx r , r ∈ N .