Approximation by nonlinear q-Bernstein-Chlodowsky operators

Abstract

Max-Product algebra is new direction in constructive approximation of functions by operators. In this study, we introduce the q-analog of Bernstein-Chlodowsky operators using max-product algebra and investigate approximation properties of a sequence of these operators. Also, an upper estimate of the approximation error of the form C?1(f; 1/?n + 1) with C > 0 obvious constant is obtained.