The functional-analytic properties of the limit \(q\)-Bernstein operator

DOI10.1155/2012/280314zbMath1268.46022OpenAlexW2014677899WikidataQ58908174 ScholiaQ58908174MaRDI QIDQ1936442

Sofiya Ostrovska

Publication date: 5 February 2013

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/280314

zbMATH Keywords

\(q\)-Bernstein operatorisomorphic embeddings

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (2)

The \(q\)-versions of the Bernstein operator: from mere analogies to further developments ⋮ A survey of results on the limit \(q\)-Bernstein operator

Cites Work

• Convergence of generalized Bernstein polynomials
• On the improvement of analytic properties under the limit \(q\)-Bernstein operator
• Characterization of 1-greedy bases
• The \(q\)-Bernstein basis as a \(q\)-binomial distribution
• Korovkin-type theorem and application
• Asymptotics of the roots of Bernstein polynomials used in the construction of modified Daubechies wavelets.
• Positive linear operators generated by analytic functions
• Properties of convergence for the \(q\)-Meyer-König and Zeller operators
• On the image of the limitq-Bernstein operator
• The quantum group SU_q(2) and a q-analogue of the boson operators
• The q-deformed binomial distribution and its asymptotic behaviour
• Projection of the space (𝑚) on its subspace (𝑐₀)
• Separably injective Banach spaces
• Quantum calculus
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