Dergiler / Turkish Journal of Mathematics / 2010 / Cilt: 34 - Sayı: 4

Statistical convergence of max-product approximating operators

Sayfa
501–514
DOI
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Özet

In this study, using the notion of statistical convergence, we obtain various statistical approximation theorems for a general sequence of max-product approximating operators, including Shepard type operators, although its classical limit fails. We also compute the corresponding statistical rates of the approximation.

Abstract

In this study, using the notion of statistical convergence, we obtain various statistical approximation theorems for a general sequence of max-product approximating operators, including Shepard type operators, although its classical limit fails. We also compute the corresponding statistical rates of the approximation.

Anahtar kelimeler: Statistical convergence, max-product operators, Shepard operators, statistical rates