Application of Almost Convergence in Approximation Theorems for Functions of Two Variables

M. Mursaleen and S. A. Mohiuddine
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M. Mursaleen: Aligarh Muslim University, Department of Mathematics
S. A. Mohiuddine: King Abdulaziz University, Department of Mathematics

Chapter Chapter 6 in Convergence Methods for Double Sequences and Applications, 2014, pp 99-115 from Springer

Abstract: Abstract In this chapter, we apply the notion of almost convergence for double sequences to prove some Korovkin-type approximation theorems for functions of two variables through some different sets of test functions. We also give examples in support of our results, and furthermore we present some consequences of the main results.

Keywords: Positive linear operators; Test functions; Korovkin type approximation theorems; Bernstein polynomials; Modulus of continuity; Meyer–König and Zeller operators; Bleimann; Butzer and Hahn operators (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-1611-7_6

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DOI: 10.1007/978-81-322-1611-7_6

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