On Jakimovski-Leviatan-Paltanea approximating operators involving Boas-Buck-type polynomials

A sequence of approximating operators is constructed in the present article with the help of Boas-Bucktype polynomials (BB-polynomials). We called this constructed operator as jakimovski-Leviatan-Paltdnea 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. (C) 2020 The Author(s). Published by Elsevier B.V. on behalf of King Saud University.