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Some approximation theorems for functions of two variables through almost convergence of double sequences
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Some approximation theorems for functions of two variables through almost convergence of double sequences

G. A. Anastassiou, M. Mursaleen and S. A. Mohiuddine
Journal of computational analysis and applications, Vol.13(1), pp.37-46
01/01/2011

Abstract

Computer Science Computer Science, Theory & Methods Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
The idea of almost convergence for double sequences was introduced by Moricz and Rhoades [Math. Proc. Camb. Phil. Soc., 104 (1988) 283-294]. In this paper, we use this concept to prove a Korovkin type approximation theorem for functions of two variables along with a supporting example. Further, we present some consequences of our main theorem.

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