Approximation by $N$-Dimensional Max-Product and Max-Min Kind Discrete Operators with Applications

Abstract

In this study, we construct max-product and max-min kind pseudo-linear
discrete operators. First we obtain some approximation results for bounded and
uniformly continuous functions. Then, the rate of convergence for these
approximations using suitable Lipschitz class of continuous
functions is also discussed. Some applications for verifying our results are also
given. Furthermore, we approximate to fuzzy numbers using our operators.
Finally, we apply our approximation in image processing.