Statistical Approximation for Periodic Functions of Two Variables
Statistical Approximation for Periodic Functions of Two Variables
We prove a Korovkin type approximation theorem for a function of two variables by using the notion of statistical summability<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>(C,1,1)</mml:mi></mml:mrow></mml:math>. We also study the rate of statistical summability<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>(C,1,1)</mml:mi></mml:mrow></mml:math>of positive linear operators. Finally we construct an example to show that our result is stronger than those previously …