The present paper deals with new modification of Gamma operators preserving polynomials in Bohman-Korovkin sense and study their approximation properties: Voronovskaya type theorems, weighted approximation and rate of convergence are captured. The effectiveness of the newly modified operators according to classical ones are presented in certain senses as well. Numerical examples are also presented, highlighting the performance of the new constructions of Gamma operators in the context of one dimensional approximation.

中文翻译：

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具有更好误差估计的 Gamma 算子的新修改

本论文处理在 Bohman-Korovkin 意义上保留多项式的 Gamma 算子的新修改，并研究它们的逼近性质：捕获 Voronovskaya 类型定理、加权逼近和收敛速度。根据经典算子新修改的算子的有效性也在一定意义上得到了体现。还提供了数值示例，突出了 Gamma 算子在一维近似背景下的新结构的性能。