Bernstein-type operators in Chebyshev spaces
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Publication:841158
DOI10.1007/s11075-008-9260-1zbMath1200.41023OpenAlexW2075238614MaRDI QIDQ841158
Publication date: 14 September 2009
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-008-9260-1
Bernstein-type operatorstotal positivityshape preservationBernstein-type basesextended Chebychev spaces
Best approximation, Chebyshev systems (41A50) Approximation by operators (in particular, by integral operators) (41A35)
Related Items (18)
Greville abscissae of totally positive bases ⋮ Approximation by Chebyshevian Bernstein operators versus convergence of dimension elevation ⋮ Design with quasi extended Chebyshev piecewise spaces ⋮ Approximation by Müntz spaces on positive intervals ⋮ Geometrically continuous piecewise Chebyshevian NU(R)BS ⋮ Finding all systems of weight functions associated with a given extended Chebyshev space ⋮ The fundamental blossoming inequality in Chebyshev spaces. I: Applications to Schur functions ⋮ Extended Chebyshev spaces in rationality ⋮ The Hyers-Ulam stability constant for Chebyshevian Bernstein operators ⋮ Quadratic convergence of approximations by CCC-Schoenberg operators ⋮ Voronovskaja-type theorem for modified Bernstein operators ⋮ Generalized Bernstein operators on the classical polynomial spaces ⋮ Quasi extended Chebyshev spaces and weight functions ⋮ Dimension elevation is not always corner-cutting ⋮ Optimality of generalized Bernstein operators ⋮ Chebyshev--Schoenberg operators ⋮ Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Pólya-type theorems on positive polynomials ⋮ Critical length: an alternative approach
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