On the iterative combinations of Baskakov operator.

Let {T n} be a sequence of linear operators on C[0,1], satisfying that {T n (e i)} converge in C[0,1] (not necessarily to e i) for i = 0,1,2, where e i = t i. We prove Korovkin-type theorem and give quantitative results on C 2[0,1] and C[0,1] for such sequences. Furthermore, we define King’s type q-Bernstein operator and give quantitative results for the approximation properties of such operators.

Minimizers of Dirichlet functionals on the $n$ -torus and the weak KAM theory

G. Wolansky (2009)

Annales de l'I.H.P. Analyse non linéaire

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Variations on Richardson's method and acceleration.

Brezinski, Claude (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Remarks on an article of J.P. King

Heiner Gonska, Paula Piţul (2005)

Commentationes Mathematicae Universitatis Carolinae

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The present note discusses an interesting positive linear operator which was recently introduced by J.P. King. New estimates in terms of the first and second modulus of continuity are given, and iterates of the operators are considered as well. For general King operators the second moments are minimized.

Generalizations of the results on powers of $p$ -hyponormal operators.

Ito, Masatoshi (2001)

Journal of Inequalities and Applications [electronic only]

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