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

Publicacions Matemàtiques (1994)

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

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topKasana, 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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