İsmail Aslan and Türkan Yeliz Gökçer
Approximation by pseudo-linear discrete operators, Mathematical Foundations of Computing, Special Issue on: "Approximation by linear and nonlinear operators with applications", (2021).

In this note, we construct a pseudo-linear kind discrete operator

based on the continuous and nondecreasing generator function. Then, we

obtain an approximation to uniformly continuous functions through this new

operator. Furthermore, we calculate the error estimation of this approach with

a modulus of continuity based on a generator function. The obtained results

are supported by visualizing with an explicit example. Finally, we investigate

the relation between discrete operators and generalized sampling series.