The rate of pointwise approximation of positive linear operators based on \(q\)-integer

DOI10.1007/s11253-011-0511-2zbMath1253.41021OpenAlexW1976881464MaRDI QIDQ765389

D. Kharzeev

Publication date: 19 March 2012

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-011-0511-2

zbMATH Keywords

positive linear operatorsVoronovskaya-type theoremq-Bernstein-Stancu polynomials

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (6)

Dunkl analogue of Szasz operators ⋮ Unnamed Item ⋮ On approximation properties of some class positive linear operators in q-analysis ⋮ Approximation properties of certain Bernstein-Stancu type operators ⋮ On the construction of q-analogues for some positive linear operators ⋮ Dunkl generalization of Szász operators via \(q\)-calculus

Cites Work

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• On the rate of pointwise convergence of Bernstein and Kantorovič polynomials
• On the multiple \(q\)-Genocchi and Euler numbers
• Quantitative theorems on approximation by Bernstein-Stancu operators
• Some approximation properties of Bernstein and Kantorovic polynomials
• Rate of pointwise convergence of Bernstein polynomials for some absolutely continuous functions
• \(q\)-Bernstein polynomials and their iterates.
• Explicit factorization of the Vandermonde matrix
• Korovkin-type theorem and application
• Approximation properties for generalized \(q\)-Bernstein polynomials
• The rate of convergence of \(q\)-Bernstein polynomials for \(0<q<1\)
• A generalization of the Bernstein polynomials
• Convexity and generalized Bernstein polynomials
• Quantum calculus

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