The <i>q</I>-versions of the Bernstein Operator: From Mere Analogies To Further Developments

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Date

2016

Journal Title

Journal ISSN

Volume Title

Publisher

Springer Basel Ag

Open Access Color

Green Open Access

No

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Abstract

The article exhibits a review of results on two popular q-versions of the Bernstein polynomials, namely, the LupaAY q-analogue and the q-Bernstein polynomials. Their similarities and distinctions are discussed.

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Keywords

Lupas q-analogue of the Bernstein operator, q-Bernstein polynomials, positive operator, analytic function, Approximation by polynomials, Lupaş \(q\)-analogue of the Bernstein operator, \(q\)-Bernstein polynomials, Approximation by positive operators, Approximation in the complex plane, positive operator, analytic function

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Fields of Science

0101 mathematics, 01 natural sciences

Citation

WoS Q

Q1

Scopus Q

Q3
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OpenCitations Citation Count
9

Source

Results in Mathematics

Volume

69

Issue

3-4

Start Page

275

End Page

295

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Citations

CrossRef : 8

Scopus : 15

SCOPUS™ Citations

15

checked on Feb 07, 2026

Web of Science™ Citations

11

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4

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1.04050832

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