Some identities between the extended \(q\)-Bernstein polynomials with weight \(\alpha\) and \(q\)-Bernoulli polynomials with weight \((\alpha,\beta)\) (Q1790031)
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scientific article; zbMATH DE number 6950779
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some identities between the extended \(q\)-Bernstein polynomials with weight \(\alpha\) and \(q\)-Bernoulli polynomials with weight \((\alpha,\beta)\) |
scientific article; zbMATH DE number 6950779 |
Statements
Some identities between the extended \(q\)-Bernstein polynomials with weight \(\alpha\) and \(q\)-Bernoulli polynomials with weight \((\alpha,\beta)\) (English)
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10 October 2018
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Summary: Using bosonic \(p\)-adic \(q\)-integral on \(\mathbb Z_p\), we give some interesting relationships between \(q\)-Bernoulli numbers with weight \((\alpha,\beta)\) and \(q\)-Bernstein polynomials with weight \(\alpha\). Also, using \(q\)-Bernstein polynomials with two variables, we derive some interesting properties associated with \(q\)-Bernoulli numbers with weight \((\alpha,\beta)\).
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0.9042460918426514
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0.892743706703186
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0.8892951607704163
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