On the iterates of Jackson type operator GS,N in Hilbert space

DOI10.2989/16073606.2018.1445133zbMath1482.41015OpenAlexW2793474333MaRDI QIDQ5743092

Diko Souroujon, Teodora Dimova Zapryanova

Publication date: 8 May 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2018.1445133

zbMATH Keywords

spectral theorybounded linear operatorlimit of iteratesJackson-type operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

• Unnamed Item
• Unnamed Item
• On the iterates of Jackson type operator \(G_{s,n}\)
• On approximation by algebraic version of the trigonometric Jackson integrals \(G_{s,n}\) in weighted integral metric
• 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
• On the iterates of positive linear operators
• 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

This page was built for publication: On the iterates of Jackson type operator G_S,N in Hilbert space