Uniform polynomial approximation and generalized growth of
entire functions on arbitrary compact sets

Srivastava, G.S.

Uniform polynomial approximation and generalized growth of entire functions on arbitrary compact sets

Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, p. 265-276 / Harvested from Project Euclid

Résumé

For arbitrary compact set $K\subset C$ we consider the uniform polynomial approximation error $E_{n} (f, K)$ of an entire function $f$ and relate it to the generalized order, generalized lower order and generalized type of $f$.

Publié le : 2009-05-15
Classification: Approximation, Entire Function, Order, Type, Generalized Order, Generalized Type, 30D15

@article{1244038138,
     author = {Srivastava, G.S.},
     title = {Uniform polynomial approximation and generalized growth of
entire functions on arbitrary compact sets},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 265-276},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1244038138}
}

Srivastava, G.S. Uniform polynomial approximation and generalized growth of
entire functions on arbitrary compact sets. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp.  265-276. http://gdmltest.u-ga.fr/item/1244038138/