Approximation by modified Szasz-Mirakjans operators based on continuously infinitely differentiable function

Resen, Jenan Abd Alreda; Hassan, Amal K.

doi:10.47974/JIM-1966

Open Access Research Article

Approximation by modified Szasz-Mirakjans operators based on continuously infinitely differentiable function

^*Jenan Abd Alreda ResenCorresponding authorJenan.resean@uobasrah.edu.iqDepartment of MathematicsCollege of SciencesUniversity of BasrahBasrah, IraqView full profile → , Amal K. HassanAmal.khelil@uobasrah.edu.iqDepartment of MathematicsCollege of SciencesUniversity of BasrahBasrah, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 709–719Vol. 28Issue 3-AApril 2025DOI: 10.47974/JIM-1966XML

Received:: 07 May 2024
Published Online:: 08 May 2025
Article type:: Research Article
Language:: EN
Article no.:: JIM-1966
Pages:: 709–719

Abstract

In this paper, we define operators Λnψ,℘ (h; ς) that are based on℘. We introduce the convergences of these operators to the functions by applying Korovkin’s theorem. A Voronovskaja-type asymptotic formula and else upshots are discussed and proofed. A numerical example is given to explain the convergence of these operators to functions and we compute the error through figures.

Keywords

Positive linear operators (p.l.o.)Szsaz-Mirakyan operators Gamma operators Modulus of continuity Voronovskaja-type asymptotic formula

Subject Classifications

41A2541A28

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