On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving Exp(2ax), a>0

Abstract

The present paper deals with the Szász-Mirakyan-Durrmeyer-Stancu operators preserving 𝑒2𝑎𝑥 for 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.

Keywords

• Exponential functions
• Voronovskaya-type theorem
• Modulus of Continuity

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