On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$

Abstract

The present paper deals with the Szász-Mirakyan-Durrmeyer-Stancu operators preserving $𝒆^{𝟐𝒂𝒙},𝒂 > 𝟎$. The uniform convergence of the constructed operators is mentioned in this paper. The rate of convergence is examined by employing two different modulus of continuities. After that, a Voronovskaya-type theorem is investigated for quantitative asymptotic estimation. Finally, a comparison is made theoretically to show that the new constructed operators perform well.