On the Decomposition of Bernstein Operators

DOI10.1080/01630563.2014.951772zbMath1315.41010OpenAlexW2032121719MaRDI QIDQ5251576

Margareta Heilmann, Ioan Raşa

Publication date: 20 May 2015

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2014.951772

zbMATH Keywords

quadrature formulaBernstein operatorseigenstructurebeta operators

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (7)

Another look at Voronovskaja type formulas ⋮ On the composition and decomposition of positive linear operators (V) ⋮ Representations for the inverses of certain operators ⋮ Smoothness Properties of Modified Bernstein-Kantorovich Operators ⋮ Generalized Bernstein-Durrmeyer operators of blending type ⋮ A discrete probability distribution and some applications ⋮ On the composition and decomposition of positive linear operators (VII)

Cites Work

• On the stability of some classical operators from approximation theory
• The eigenstructure of the Bernstein operator
• A new class of modified Bernstein operators
• Unnamed Item

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