On approximation and interpolation of entire functions with index-pair (p,q).

H. S. Kasana; Devendra Kumar

Publicacions Matemàtiques (1994)

  • Volume: 38, Issue: 2, page 255-267
  • ISSN: 0214-1493

Abstract

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In this paper we have studied the Chebyshev and interpolation errors for functions in C(E), the normed algebra of analytic functions on a compact set E of positive transfinite diameter. The (p,q)-order and generalized (p,q)-type have been characterized in terms of these approximation errors. Finally, we have obtained a saturation theorem for f ∈ C(E) which can be extended to an entire function of (p,q)-order 0 or 1 and for entire functions of minimal generalized (p,q)-type.

How to cite

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Kasana, H. S., and Kumar, Devendra. "On approximation and interpolation of entire functions with index-pair (p,q).." Publicacions Matemàtiques 38.2 (1994): 255-267. <http://eudml.org/doc/41190>.

@article{Kasana1994,
abstract = {In this paper we have studied the Chebyshev and interpolation errors for functions in C(E), the normed algebra of analytic functions on a compact set E of positive transfinite diameter. The (p,q)-order and generalized (p,q)-type have been characterized in terms of these approximation errors. Finally, we have obtained a saturation theorem for f ∈ C(E) which can be extended to an entire function of (p,q)-order 0 or 1 and for entire functions of minimal generalized (p,q)-type.},
author = {Kasana, H. S., Kumar, Devendra},
journal = {Publicacions Matemàtiques},
keywords = {Función entera; Aproximación polinómica; Interpolación; special classes of entire functions; growth estimates},
language = {eng},
number = {2},
pages = {255-267},
title = {On approximation and interpolation of entire functions with index-pair (p,q).},
url = {http://eudml.org/doc/41190},
volume = {38},
year = {1994},
}

TY - JOUR
AU - Kasana, H. S.
AU - Kumar, Devendra
TI - On approximation and interpolation of entire functions with index-pair (p,q).
JO - Publicacions Matemàtiques
PY - 1994
VL - 38
IS - 2
SP - 255
EP - 267
AB - In this paper we have studied the Chebyshev and interpolation errors for functions in C(E), the normed algebra of analytic functions on a compact set E of positive transfinite diameter. The (p,q)-order and generalized (p,q)-type have been characterized in terms of these approximation errors. Finally, we have obtained a saturation theorem for f ∈ C(E) which can be extended to an entire function of (p,q)-order 0 or 1 and for entire functions of minimal generalized (p,q)-type.
LA - eng
KW - Función entera; Aproximación polinómica; Interpolación; special classes of entire functions; growth estimates
UR - http://eudml.org/doc/41190
ER -

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