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Statistical convergence and approximation theorems for functions of two variables
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Statistical convergence and approximation theorems for functions of two variables

S. A. Mohiuddine and Abdullah Alotaibi
Journal of computational analysis and applications, Vol.15(2), pp.218-223
01/02/2013

Abstract

Computer Science Computer Science, Theory & Methods Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
In this work, we use the notion of (lambda, mu)-statistical convergence to prove the Korovkin-type approximation theorem for functions of two variables by using the test functions 1, x, y, x(2) + y(2). Furthermore, we define a new type of summability method via (lambda, mu)-statistical convergence and use it to prove Korovkin theorem. Moreover, we obtain order of (lambda, mu)-statistical convergence in our approximation.

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