Conformable fractional approximation by max-product operators

George Anastassiou

Abstract


Here we study the approximation of functions by a big variety of Max-
Product operators under conformable fractional di¤erentiability. These
are positive sublinear operators. Our study is based on our general results
about positive sublinear operators. We produce Jackson type inequalities
under conformable fractional initial conditions. So our approach is quan-
titative by producing inequalities with their right hand sides involving the
modulus of continuity of a high order conformable fractional derivative of
the function under approximation.


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DOI: http://dx.doi.org/10.24193/subbmath.2018.1.01

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