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Zbl 1212.41052
Nowak, Grzegorz; Sikorska-Nowak, Aneta
Some approximation properties of modified Szasz-Mirakyan-Kantorovich operators.
(English)
[J] Rev. Anal. Numér. Théor. Approx. 38, No. 1, 77-86 (2009). ISSN 1222-9024

The modified Szasz-Mirakyan-Kantorovich operators are considered for functions integrable in the sense of Denjoy-Perron or continuous with the same weight. Pointwise estimates of the deviation of the considered operators from the functions are obtained in terms pointwise or weighted moduli of continuity.
[Woldzimierz Lenski (Poznan)]
MSC 2000:
*41A25 Degree of approximation, etc.

Keywords: Szasz-Mirakyan operator; rate of convergence; Lebesgue-Denjoy point

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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