An answer to a conjecture on the limit of the iterates of Jackson type operator Gs, n

DOI10.1063/1.5013989zbMath1465.41004OpenAlexW2771660634MaRDI QIDQ5002451

Teodora Dimova Zapryanova, Diko Souroujon

Publication date: 27 July 2021

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5013989

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Harmonic analysis in several variables (42B99)

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Cites Work

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• On the iterates of Jackson type operator \(G_{s,n}\)
• On the spectrum of positive linear operators with a partition of unity property
• Asymptotic behaviour of the iterates of positive linear operators
• The iterates of positive linear operators preserving constants
• Bernstein polynomials and operator theory
• On the iterates of positive linear operators preserving the affine functions
• A characterization of the \(K\)-functional for the algebraic version of the trigonometric jackson integrals \(G_{s,n}\) and the \(K\)-functionals for cao-gonska operators \(G_{s,n}^{*}\) and \(G_{s,n}^{+}\)
• About a problem of Hermite and Biehler
• Approximation by boolean sums of positive linear operators III: Estimates for some numerical approximation schemes
• Strong converse inequalities

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