Approximation by boolean sums of positive linear operators III: Estimates for some numerical approximation schemes

DOI10.1080/01630568908816324zbMath0683.41012OpenAlexW1976694206MaRDI QIDQ4732846

Jia-Ding Cao, Heinz H. Gonska

Publication date: 1989

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568908816324

zbMATH Keywords

Gaussian quadratureBoolean sumoptimal order of approximationButzer's problemDeVore-Gopengauz-type estimateTelyakovskiǐ-type estimate

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Algorithms for approximation of functions (65D15) Approximation by positive operators (41A36)

Related Items

Approximation properties of the sampling Kantorovich operators: regularization, saturation, inverse results and Favard classes in \(L^p\)-spaces ⋮ On the iterates of Jackson type operator \(G_{s,n}\) ⋮ Variation on Butzer's problem: Characterization of the solutions ⋮ On Butzer's Problem ⋮ Saturation of Cao-Gonska operators \(\Lambda^*\) and \(\lambda^+\) ⋮ On the iterates of Jackson type operator G_S,N in Hilbert space ⋮ Approximation by Boolean sums of linear operators: Telyakovskiǐ-type estimates ⋮ A regularization method for polynomial approximation of functions from their approximate values at nodes ⋮ On \(j\)-convex preserving interpolation operators ⋮ An answer to a conjecture on the limit of the iterates of Jackson type operator Gs, n ⋮ Approximation by Boolean sums of positive linear operators. VII: Fejér-Korovkin kernels of higher order

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