APPROXIMATION BY NONLINEAR q-BERNSTEIN-CHLODOWSKY OPERATORS

APPROXIMATION BY NONLINEAR q-BERNSTEIN-CHLODOWSKY OPERATORS

ECEM ACAR, SEVILAY KIRCI SERENBAY

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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_w1(f; 1/ √ n + 1  ) with C > 0 obvious constant is obtained.

Keywords: q-integers, nonlinear operators, Bernstein-Chlodowsky operators.

AMS Subject Classification: 41A30, 41A46, 41A25.