In this note we give the Voronovskaya theorem for some linear positive operators of the Szasz-Mirakjan type defined in the space of functions continuous on [0,+∞) and having the exponential growth at infinity.
Some approximation properties of these operators are given in [3], [4].
@article{urn:eudml:doc:41307,
title = {The Voronovskaya theorem for some linear positive operators in exponential weight spaces.},
journal = {Publicacions Matem\`atiques},
volume = {41},
year = {1997},
pages = {519-526},
mrnumber = {MR1485501},
zbl = {0898.41020},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41307}
}
Rempulska, Lucyna; Skorupka, Mariola. The Voronovskaya theorem for some linear positive operators in exponential weight spaces.. Publicacions Matemàtiques, Tome 41 (1997) pp. 519-526. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41307/