A remark on a modified Szász-Mirakjan operator

Zhou, Guanzhen; Zhou, Songping

Colloquium Mathematicae, Tome 79 (1999), p. 157-160 / Harvested from The Polish Digital Mathematics Library

Résumé

We prove that, for a sequence of positive numbers δ(n), if $n^{1 / 2} δ (n) \neg \to \infty$ as $n \to \infty$ , to guarantee that the modified Szász-Mirakjan operators $S_{n, δ} (f, x)$ converge to f(x) at every point, f must be identically zero.

Publié le : 1999-01-01

Zbl 0922.41013

EUDML-ID : urn:eudml:doc:210619

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     author = {Guanzhen Zhou and Songping Zhou},
     title = {A remark on a modified Sz\'asz-Mirakjan operator},
     journal = {Colloquium Mathematicae},
     volume = {79},
     year = {1999},
     pages = {157-160},
     zbl = {0922.41013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv79i2p157bwm}
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Zhou, Guanzhen; Zhou, Songping. A remark on a modified Szász-Mirakjan operator. Colloquium Mathematicae, Tome 79 (1999) pp. 157-160. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv79i2p157bwm/

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