Betus, ÖmürUsta, Fuat2025-10-112025-10-1120231098-24260749-159Xhttps://doi.org/10.1002/num.22660https://hdl.handle.net/20.500.12684/21260In this article, a new type of Gamma operators which preserves 1 and x2 has been presented and tested. In order to show the approximation properties of the newly defined operator, Voronovksya type theorems, weighted approximation, rate of convergence, and pointwise estimates have been presented. Additionally, numerical examples implemented by MATLAB have been provided to show its approximation properties by numerically. © 2023 Elsevier B.V., All rights reserved.en10.1002/num.22660info:eu-repo/semantics/openAccessGamma OperatorsNumerical ResultsRate Of ConvergenceVoronovskaya Type TheoremsWeighted ApproximationApproximation Of FunctionsApproximation PropertiesApproximation RatesConvergence EstimatesGamma OperatorNumerical ResultsPointwise EstimateRate Of ConvergenceVoronovskayum Type TheoremWeighted ApproximationApproximation TheoryArticle395352035312-s2.0-85096647520Q1