A study on the \(p\)-adic \(q\)-integral representation on \(\mathbb Z_{p}\) associated with the weighted \(q\)-Bernstein and \(q\)-Bernoulli polynomials (Q535521)
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scientific article; zbMATH DE number 5887685
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A study on the \(p\)-adic \(q\)-integral representation on \(\mathbb Z_{p}\) associated with the weighted \(q\)-Bernstein and \(q\)-Bernoulli polynomials |
scientific article; zbMATH DE number 5887685 |
Statements
A study on the \(p\)-adic \(q\)-integral representation on \(\mathbb Z_{p}\) associated with the weighted \(q\)-Bernstein and \(q\)-Bernoulli polynomials (English)
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13 May 2011
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The authors consider the weighted \(q\)-Bernstein polynomials to express the bosonic \(q\)-integral on the ring of \(p\)-adic integers \(\mathbb{Z}_{p}\), and investigate some properties of the weighted \(q\)-Bernstein polynomials associated with the weighted \(q\)-Bernoulli numbers and polynomials by using the expression of \(p\)-adic \(q\)-integral on \(\mathbb{Z}_{p}\) of those polynomials.
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Weighted \(q\)-Bernstein polynomials
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\(q\)-Bernoulli polynomials
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\(q\)-integral representations
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