Approximation by quaternion \(q\)-Bernstein polynomials, \(q > 1\)

DOI10.1007/s00006-011-0310-8zbMath1259.41029OpenAlexW2054619693MaRDI QIDQ1934336

Sorin Gheorghe Gal

Publication date: 28 January 2013

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-011-0310-8

zbMATH Keywords

order of approximationquaternionanalytic functions in Weierstrass sense\(q\)-Bernstein-polynomials of quaternion variable

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Approximation by positive operators (41A36) Approximation by other special function classes (41A30)

Related Items (3)

Overconvergence of Chebyshev and Legendre expansions in quaternionic ellipsoids ⋮ The \(q\)-versions of the Bernstein operator: from mere analogies to further developments ⋮ Approximation by quaternion \((p,q)\)-Bernstein polynomials and Voronovskaja type result on compact disk

Cites Work

• \(q\)-Bernstein polynomials and their iterates.
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