A Note on Approximation of Nonlinear Baskakov operators Based on q-integers

Abstract

In this study, we give a specific family of q-integer-based max-product type approximation operators having the property of pseudo-linearity, a weaker term than classical linearity. We propose a further improvement in max-product type operators which is based on q-integers. Firstly, we construct a new kind of nonlinear Baskakov operators. For construction we use the linear q-Baskakov polynomials and also the max-product algebra. Then we give an error estimation for the q-Baskakov operators of max-product kind. Also, an approximate statistical theorem is presented.