A New Approach to the Approximation by Positive Linear Operators in Weighted Spaces

Abstract

In the present paper, we deal with the problem of approximation of a function by positive linear operators in weighted spaces. Our main tool is the P-p-statistical convergence recently defined by [M. unver and C. Orhan, Numer. Funct. Anal. Optim., 40, 535-547 (2019)]. It is worth noting that the P-p-statistical convergence and statistical convergence do not imply each other.