Approximation by sublinear operators


In this paper, we study the approximation of functions by positive sublinear operators under differentiability. We produce general Jackson type inequalities under initial conditions. We apply them to a series of well-known Max-product operators. So our approach is quantitative by producing inequalities with their right hand sides involving the modulus of continuity of a high order derivative of the function under approximation.

Publication Title

Acta Mathematica Universitatis Comenianae

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