| Summary: | 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.
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