Direct and inverse theorems on statistical approximations by positive linear operators (Q1011118)
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scientific article; zbMATH DE number 5541306
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Direct and inverse theorems on statistical approximations by positive linear operators |
scientific article; zbMATH DE number 5541306 |
Statements
Direct and inverse theorems on statistical approximations by positive linear operators (English)
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7 April 2009
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The author proves some direct and inverse results on \(A\)-statistical convergence of the sequence of general positive linear operators. The order of \(A\)-statistical convergence is computed by means of the modulus of continuity and Peetre's \(K\)-functionals.
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\(A\)-statistical convergence
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sequence of positive linear operators
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the korovkin type theorem
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peetre's \(K\)-functional
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first- and second-order modulus of continuities and Lipschitz classes
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