Approximation by Gupta–Păltănea operators

Abstract

We investigate the approximation degree of a general class of positive linear operators introduced by Gupta (RACSAM 113:3717–3725, 2019) by means of the modulus of continuity, Steklov mean and Voronovskaya type theorem. Some approximation results concerning the weighted approximation are also discussed. Lastly, the approximation of functions with derivatives of bounded variation is considered.