SOME KOROVKIN TYPE APPROXIMATION THEOREMS FOR MULTIVARIATE BERNSTEIN TYPE RATIONAL OPERATORS VIA SUMMABILITY METHODS

In this paper, we derive approximation theorems in the multivariate case for rational operators using power series convergence and A-statistical convergence. By selecting a special case of power series convergence and considering A-statistical convergence, we study approximation properties of a non-tensor product BBH type operator, which doesn’t converge in the classical sense. Finally, we demonstrate that our new approximation results are stronger than some previously established results.