On the rate of approximation by \(q\) modified beta operators (Q629202)
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scientific article; zbMATH DE number 5862705
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the rate of approximation by \(q\) modified beta operators |
scientific article; zbMATH DE number 5862705 |
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On the rate of approximation by \(q\) modified beta operators (English)
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8 March 2011
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The authors propose the \(q\) analogue of the modified Beta operators. They apply \(q\)-derivatives to obtain the central moments of the discrete \(q\)-Beta operators. A direct result in terms of modulus of continuity for the \(q\)-operators is also established. They have also used the properties of \(q\)-integral to establish the recurrence formula for the moments of \(q\)-modified Beta operators and an asymptotic formula.
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linear positive operators
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modified beta operators
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modulus of continuity
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\(q\)-integers
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\(q\)-beta functions
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\(q\)-derivatives
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\(q\)-integrals
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rate of approximation
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