A-Statistical Korovkin-Type Approximation Theorem For Functions Of Two Variables On An Infinite Interval

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Tarih

2012

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Yayıncı

Acta Mathematica Universitatis Comenianae

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Özet

In this paper, using the concept of A-statistical convergence for double sequences, we provide a Korovkin-type approximation theorem for positive linear operators on the space of all real-valued uniform continuous functions on [0;?) x [0;?) with the property that have a finite limit at the infinity. Then, we display an application which shows that our new result is stronger than its classical version.

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Anahtar Kelimeler

A-Statistical convergence of double sequence, Positive linear operator, The Korovkin theorem, Baskakov operator

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Künye

Kamil Demirci, Sevda Karakuş. "A-Statistical Korovkin-Type Approximation theorem For Functions Of Two Variables On An Infinite Interval". Acta Mathematica Universitatis Comenianae. Vol. LXXXI, 2 (2012), pp. 151-157.