1. On Stancu type Szász-Mirakyan-Durrmeyer Operators Preserving Exp(2ax), a>0
- Author
-
Melek Sofyalioğlu and Kadir Kanat
- Subjects
Multidisciplinary ,020209 energy ,Uniform convergence ,Exponential functions,Voronovskaya-type theorem,Modulus of Continuity ,Mühendislik ,General Engineering ,Modulus ,02 engineering and technology ,Type (model theory) ,Modulus of continuity ,Exponential function ,Engineering ,Convergence (routing) ,0202 electrical engineering, electronic engineering, information engineering ,Applied mathematics ,020201 artificial intelligence & image processing ,Mathematics - 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.
- Published
- 2021