Bernstein type operators having 1 and \(x^j\) as fixed points

DOI10.2478/S11533-013-0310-0zbMath1284.41015OpenAlexW1993209408MaRDI QIDQ2440538

Zoltán Finta

Publication date: 19 March 2014

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-013-0310-0

zbMATH Keywords

Bernstein-type operatorsKorovkin-type theoremordered normed spaceHahn-Banach-type theorem

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximation by positive operators (41A36)

Related Items (8)

King operators which preserve $x^j$ ⋮ Voronovskaja formula for Aldaz-Kounchev-Render operators: uniform convergence ⋮ Direct and converse theorems for King type operators ⋮ A note on the fixed points of positive linear operators ⋮ A class of Markov type operators which preserve \(e_j\), \(j \geqslant 1\) ⋮ Voronovskaya type results for special sequences of operators ⋮ Voronovskaja-type theorem for modified Bernstein operators ⋮ Generalized Bernstein operators on the classical polynomial spaces

Cites Work

• Shape preserving properties of generalized Bernstein operators on extended Chebyshev spaces
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