Keywords: entire function; Siciak extremal function; generalized order; generalized type; approximation errors; interpolation errors
@article{ARM_2009_45_2_a6,
author = {Srivastava, G. S. and Kumar, Susheel},
title = {Approximation of entire functions of slow growth on compact sets},
journal = {Archivum mathematicum},
pages = {137--146},
year = {2009},
volume = {45},
number = {2},
mrnumber = {2591670},
zbl = {1212.30002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2009_45_2_a6/}
}
Srivastava, G. S.; Kumar, Susheel. Approximation of entire functions of slow growth on compact sets. Archivum mathematicum, Tome 45 (2009) no. 2, pp. 137-146. http://geodesic.mathdoc.fr/item/ARM_2009_45_2_a6/
[1] Ganti, R., Srivastava, G. S.: Approximation of entire functions of slow growth. General Math. 14 (2) (2006), 65–82. | MR | Zbl
[2] Janik, A.: A characterization of the growth of analytic functions by means of polynomial approximation. Univ. Iagel. Acta Math. 24 (1984), 295–319. | MR | Zbl
[3] Janik, A.: On approximation of entire functions and generalized order. Univ. Iagel. Acta Math. 24 (1984), 321–326. | MR
[4] Kapoor, G. P., Nautiyal, A.: Polynomial approximation of an entire function of slow growth. J. Approx. Theory 32 (1981), 64–75. | DOI | MR | Zbl
[5] Seremeta, M. N.: On the connection between the growth of the maximum modulus of an entire function and the moduli of the coefficients of its power series expansion. Amer. Math. Soc. Transl. Ser. 2 88 (1970), 291–301.
[6] Shah, S. M.: Polynomial approximation of an entire function and generalized order. J. Approx. Theory 19 (1977), 315–324. | DOI | MR
[7] Winiarski, T.: Application of approximation and interpolation methods to the examination of entire functions of $n$ complex variables. Ann. Polon. Math. 28 (1973), 97–121. | MR | Zbl