Statistical e-Convergence of Double Sequences and its Application to Korovkin-Type Approximation Theorem for Functions of Two Variables
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Date
2017
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Abstract
In this paper, we have introduced the concept of statistical e-convergence and proved some fundamental properties of statistical e-convergence. In addition, we have introduced strongly e- | C10| -summability and examined the relationship between statistical e-convergence and strongly e- | C10| -summability of double sequences. Finally, we investigate a Korovkin-type approximation theorem for double sequences of positive linear operators on the space of all continuous real-valued functions defined on any compact subset of the real two-dimensional space. Then we display an application which shows that our new result is stronger than its classical version. © 2016, Shiraz University.