On the iterates of Jackson type operator \(G_{s,n}\)

DOI10.1007/S00009-016-0791-8zbMath1354.41016OpenAlexW2544582364MaRDI QIDQ347004

Teodora Dimova Zapryanova, Diko Souroujon

Publication date: 30 November 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-016-0791-8

zbMATH Keywords

spectral theorybounded linear operatorJackson type operatorlimit of iterates

Mathematics Subject Classification ID

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

Related Items (3)

Iterates of convolution-type operators ⋮ On the iterates of Jackson type operator G_S,N in Hilbert space ⋮ An answer to a conjecture on the limit of the iterates of Jackson type operator Gs, n

Cites Work

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• 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
• On some convergence criteria for nets of positive operators on continuous function spaces
• Bernstein polynomials and operator theory
• Lower bounds for the approximation with variation-diminishing splines
• On the iterates of positive linear operators preserving the affine functions
• Approximation by boolean sums of positive linear operators III: Estimates for some numerical approximation schemes

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