Abstract
Here we consider the approximation of functions by sublinear positive operators with applications to a large variety of Max-Product operators under iterated fractional differentiability. Our approach is based on our general fractional results about positive sublinear operators. We produce Jackson type inequalities under iterated fractional initial conditions. So our way is quantitative by producing inequalities with their right hand sides involving the modulus of continuity of iterated fractional derivative of the function under approximation. It follows Anastassiou, Iterated fractional approximation by Max-product operators, 2017, [4].
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Anastassiou, G.A. (2018). Iterated Fractional Approximations Using Max-Product Operators. In: Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators. Studies in Systems, Decision and Control, vol 147. Springer, Cham. https://doi.org/10.1007/978-3-319-89509-3_6
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DOI: https://doi.org/10.1007/978-3-319-89509-3_6
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