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This paper deals with constructing the modified form of the Post‐Widder operators, which reproduce constant and e2ax for fixed a>0 . We discuss the uniform convergence of the constructed operators… Click to show full abstract
This paper deals with constructing the modified form of the Post‐Widder operators, which reproduce constant and e2ax for 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 preserving xr , r∈N .
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
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