The $q$-versions of the Bernstein operator: from mere analogies to further developments (Q287285)

scientific article; zbMATH DE number 6585568

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English	The $q$-versions of the Bernstein operator: from mere analogies to further developments	scientific article; zbMATH DE number 6585568

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instance of

scholarly article

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title

The $q$-versions of the Bernstein operator: from mere analogies to further developments (English)

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author

Sofiya Ostrovska

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published in

Results in Mathematics

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publication date

26 May 2016

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zbMATH Keywords

Lupaş $q$-analogue of the Bernstein operator

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$q$-Bernstein polynomials

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positive operator

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analytic function

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s00025-016-0530-2

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cites work

Q3116266

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Q4222737

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Some generalized bivariate Bernstein operators

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Note on a Korovkin-type theorem

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The $q$-Bernstein basis as a $q$-binomial distribution

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The eigenstructure of the Bernstein operator

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Accurate Computations with Collocation Matrices of q-Bernstein Polynomials

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Q5457556

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Generating functions method for classical positive operators, their $q$-analogues and generalizations

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Voronovskaja’s theorem, shape preserving properties and iterations for complex q-Bernstein polynomials

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Approximation by quaternion $q$-Bernstein polynomials, $q > 1$

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Q5191286

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The rate of convergence ofq-Durrmeyer operators for 0<q<1

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Generalized Bézier curves and surfaces based on Lupaş $q$-analogue of Bernstein operator

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Q5788558

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Q5464878

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Convergence of generalized Bernstein polynomials

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The q-deformed binomial distribution and its asymptotic behaviour

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Generalized Bernstein polynomials

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Q3840971

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Q3472618

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The moments for $q$-Bernstein operators in the case $0<q<1$

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A $q$-analogue of the Meyer-König and Zeller operators

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Korovkin-type theorems and applications

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Asymptotic properties of powers of linear positive operators which preserve $e_2$

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Approximation properties of bivariate complex q-Bernstein polynomials in the case q > 1

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Approximation by $q$-Durrmeyer type polynomials in compact disks in the case $q > 1$

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Q2915723

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$q$-Bernstein polynomials and their iterates.

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On the improvement of analytic properties under the limit $q$-Bernstein operator

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On the Lupaş $q$-analogue of the Bernstein operator

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Positive linear operators generated by analytic functions

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On the approximation of analytic functions by the $q$-Bernstein polynomials in the case $q>1$

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On the Lupaş $q$-transform

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Analytical properties of the Lupaş $q$-transform

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Functions whose smoothness is not improved under the limit $q$-Bernstein operator

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How do singularities of functions affect the convergence of q-Bernstein polynomials?

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Q4365448

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Interpolation and approximation by polynomials

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A $q$-analog of Newton's series, Stirling functions and Eulerian functions

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Q2884383

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Papers of L.V. Kantorovich on Bernstein polynomials

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Korovkin-type theorem and application

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Properties of convergence for the $q$-Meyer-König and Zeller operators

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Properties of convergence for $\omega,q$-Bernstein polynomials

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The saturation of convergence on the interval [0,1] for the $q$-Bernstein polynomials in the case $q>1$

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Convergence rate for iterates of q-Bernstein polynomials

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Identifiers

zbMATH Open document ID

1339.41009

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Mathematics Subject Classification ID

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10.1007/S00025-016-0530-2

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Sitelinks

Mathematics(1 entry)

mardi Publication:287285

The \(q\)-versions of the Bernstein operator: from mere analogies to further developments (Q287285)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)