A sequence of approximating operators is constructed in the present article with the help of Boas-Buck-type polynomials (BB-polynomials). We called this constructed operator as Jakimovski-Leviatan-Păltănea operators (JLP-operators) involving BB-polynomials. We establish some approximation properties of approximating operators converging towards the function to be approximated. We investigate versatile Korovkin-type property and also demonstrate the rate of convergence. Moreover, some approximation results are given in the weighted spaces. Furthermore, a Voronoskaja type theorem is also proved as well as approximation result when functions belong to the Lipschitzian class.

本文在Boas-Buck型多项式（BB-多项式）的帮助下构造了一系列近似算子。我们将此构造运算符称为涉及BB多项式的Jakimovski-Leviatan-Păltănea运算符（JLP-operators）。我们建立了趋近于近似函数的近似算子的一些近似性质。我们研究了通用的科罗夫金型性质，并证明了收敛速度。此外，在加权空间中给出了一些近似结果。此外，当函数属于Lipschitzian类时，也证明了Voronoskaja型定理以及近似结果。