Max-product operators in summation method

In this thesis, with the help of a general summation method (process) introduced by Bell we study the approximation properties to non-negative continuous functions by max-product operators which are positive but have a weaker linearity condition. Thus, we also find solutions in case of the lack of classical approximation and drive some alternative approximation methods. We is shown that our results are included many known regular summability methods such as ordinary convergence, arithmetic mean convergence, almost convergence. Finally, its error estimation are computed and verified by some examples. Keywords:Summation method, Max-product operators, Error estimate.