The truncated \(q\)-Bernstein polynomials in the case \(q > 1\)

DOI10.1155/2014/126319zbMath1470.41006OpenAlexW1985026163WikidataQ59035296 ScholiaQ59035296MaRDI QIDQ1722122

Mehmet Turan

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/126319

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) General theory of functional equations and inequalities (39B05)

Related Items (1)

Extrapolation properties of multivariate Bernstein polynomials

Cites Work

• On the sets of convergence for sequences of the \(q\)-Bernstein polynomials with \(q > 1\)
• An exact Daugavet type inequality for small into isomorphisms in \(L_{1}\)
• The saturation of convergence on the interval [0,1 for the \(q\)-Bernstein polynomials in the case \(q>1\)]
• The eigenstructure of the Bernstein operator
• Korovkin-type theorem and application
• On the \(q\)-Bernstein polynomials of piecewise linear functions in the case \(q>1\)
• Approximation properties for generalized \(q\)-Bernstein polynomials
• A survey of results on the q-Bernstein polynomials
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