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Approximation of Functions of Two Variables via Almost Convergence of Double Sequences

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Approximation by Multivariate Singular Integrals

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Abstract

The idea of almost convergence for double sequences was introduced by Moricz and Rhoades [6]. In this chapter, we use this concept to prove a Korovkin-type approximation theorem for functions of two variables and we give an example. Furthermore, we present the consequences of the main theorem. This chapter is based on [1].

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References

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Correspondence to George A. Anastassiou .

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© 2011 George A. Anastassiou

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Anastassiou, G.A. (2011). Approximation of Functions of Two Variables via Almost Convergence of Double Sequences. In: Approximation by Multivariate Singular Integrals. SpringerBriefs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0589-4_6

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