Approximation properties of rth order generalized Bernstein polynomials based on q-calculus

DOI10.1007/s10496-011-0040-8zbMath1249.41022OpenAlexW2061652804MaRDI QIDQ2886082

Honey Sharma

Publication date: 1 June 2012

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10496-011-0040-8

zbMATH Keywords

modulus of continuity\(q\)-Bernstein polynomials\(A\)-statistical convergence

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (2)

Bivariate positive linear operators constructed by means of \(q\)-Lagrange polynomials ⋮ A certain family of mixed summation-integral-type Lupaş-Phillips-Bernstein operators

Cites Work

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• Approximation theorems by Meyer-König and Zeller type operators
• Convergence of generalized Bernstein polynomials
• Voronovskaya-type formulas and saturation of convergence for \(q\)-Bernstein polynomials for \(0 < q < 1\)
• ON STATISTICAL CONVERGENCE
• Statistical approximation by positive linear operators
• Sur la convergence statistique
• Quantum calculus

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