We present a Korovkin type approximation theorem for a sequence of positive linear operators defined on the space of all real valued continuous and periodic functions via A-statistical approximation, for the rate of the third order Ditzian-Totik modulus of smoothness. Finally, we obtain an interleave between Riesz's representation theory and Lebesgue-Stieltjes integral-i, for Riesz's functional supremum formula via statistical limit.
Malik Saad Al-Muhja. "A Korovkin Type Approximation Theorem and Its Applications." Abstr. Appl. Anal. 2014 (SI70) 1 - 6, 2014. https://doi.org/10.1155/2014/859696