Aslan, İsmailGökçer, Türkan Yeliz2024-06-132024-06-1320232577-883810.3934/mfc.20210372-s2.0-85187233717https://doi.org/10.3934/mfc.2021037https://hdl.handle.net/11501/1447In 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.eninfo:eu-repo/semantics/openAccessDiscrete OperatorsPseudo-Linear OperatorsUniform G-DistanceRate of ApproximationG-Modulus of ContinuityArticle131Q316WOS:000731384800001Q3