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

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.

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Publication Details

Journal
Iraqi Journal of Science
Published
2024-12-30
DOI
https://doi.org/10.24996/ijs.2024.65.12.27
Citations
1
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
0.71
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article

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

Eman Samir Bhaya, Mohammed Hadi Lafta
1 citations
Iraqi Journal of Science
Approximation Theory and Sequence Spaces
0.71
article

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

Eman Samir Bhaya, Mohammed Hadi Lafta
article en
1 citations

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.

Iraqi Journal of Science
University of Babylon (IQ)
Openalex Percentile: Top 23%
Approximation Theory and Sequence Spaces
0.71
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