The main intent of this paper is to innovate a new construction of modified Lupaş-Jain operators with weights of some Beta basis functions whose construction depends on such that and . Primarily, for the sequence of operators, the convergence is discussed for functions belong to weighted spaces. Further, to prove pointwise convergence Voronovskaya type theorem is taken into consideration. Finally, quantitative estimates for the local approximation are discussed.

中文翻译：

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修正的Lupaş-Jain-Beta算子的近似率

本文的主要目的是创新修正的Lupas -耆那教的运营商的新增建设用的一些测试版基础功能，其建设的权重取决于这样 和 。首先，对于算子序列，讨论了属于加权空间的函数的收敛性。此外，为了证明逐点收敛，考虑了Voronovskaya型定理。最后，讨论了局部近似的定量估计。