King operators which preserve $x^j$

DOI10.33205/CMA.1259505OpenAlexW4376651041MaRDI QIDQ6062358

Zoltán Finta

Publication date: 30 November 2023

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33205/cma.1259505

zbMATH Keywords

Bernstein operatormodulus of continuityKorovkin theorempolynomial operatorKing operator

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Cites Work

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• Asymptotic formulae via a Korovkin-type result
• Shape preserving properties of generalized Bernstein operators on extended Chebyshev spaces
• The approximation of continuous functions by positive linear operators
• Positive linear operators which preserve \(x^2\)
• Complete asymptotic expansions related to conjecture on a Voronovskaja-type theorem
• A proof of a conjecture about the asymptotic formula of a Bernstein type operator
• Direct and converse theorems for King operators
• On sequences of J. P. King-type operators
• New properties of King's operators
• Bernstein type operators having 1 and \(x^j\) as fixed points
• Estimates for Bernstein type operators
• A Quantitative Variant of Voronovskaja's Theorem for King-Type Operators

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