I_2-Relative uniform convergence and Korovkin type approximation
Keywords:Korovkin type theorem, positive linear operator, ideal relative convergence for double sequences
In the present paper, an interesting type of convergence named ideal relative uniform convergence for double sequences of functions has been introduced for the first time. Then, the Korovkin type approximation theorem via this new type of convergence has been proved. An example to show that the new type of convergence is stronger than the convergence considered before has been given. Finally, the rate of I2-relative uniform convergence has been computed.