Statistical convergence and rate of convergence of a sequence of positive linear operators

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Tarih

2007

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Yayıncı

Mathematical Communications

Erişim Hakkı

Özet

In the present paper, a modification of positive linear operators which was proposed by O. Agratini is introduced. This modification which preserves function e2 (x) = x2 provides a better estimation than operators given by Agratini. Also, using the concept of statistical convergence, we give the Korovkin type approximation theorem for this modification.

Açıklama

Anahtar Kelimeler

Operators given by Agratini, Statistical convergence, The Korovkin-type approximation theorem, Modulus of contiunity

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Sayı

Künye

Dirik, F. "Statistical convergence and rate of convergence of a sequence of positive linear operators". Mathematical Communications. 12(2007), 147-153.