L_p (D) Approximation by Modified Complex Szasz- Mirakjan Operator

Mohammed Hadi  Lafta; Eman Samir  Bhaya

doi:10.24996/ijs.2024.65.12.27

Authors

Mohammed Hadi Lafta Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Iraq https://orcid.org/0009-0008-7120-4808
Eman Samir Bhaya AL- Zahraa University for Women, College of Education

DOI:

https://doi.org/10.24996/ijs.2024.65.12.27

Keywords:

Exact order of approximation, rate of convergence, complex Szasz-Stancu type operator, Voronovskaja's theorem

Abstract

Many operators are introduced for the approximation of real functions, but little for the approximation of complex functions. These studies are for analytic functions.

In this article, we define a new type of Szasz-Mirakjan operator. Then we estimate the degree of approximation using this modified complex Szasz-Mirakjan operators to integrable functions on compact disks along with a quantitative estimation. Using quantitative methods, we also obtain an upper estimate in the simultaneous approximation by and exact degrees of approximation estimation for these operators' Stancu-type generalization.