Korovkin Type Theorem for Functions of Two Variables via Lacunary Equistatistical Convergence
نویسنده
چکیده
Aktuğlu and Gezer [1] introduced the concepts of lacunary equistatistical convergence, lacunary statistical pointwise convergence and lacunary statistical uniform convergence for sequences of functions. Recently, Kaya and Gönül [11] proved some analogs of the Korovkin approximation theorem via lacunary equistatistical convergence by using test functions 1, x 1+x , y 1+y , ( x 1+x )2+( y 1+y )2. In this paper, we apply the notion of lacunary equistatistical convergence to prove a Korovkin type approximation theorem for functions of two variables by using test functions 1, x 1−x , y 1−y , ( x 1−x ) 2 + ( y 1−y ) 2.
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