Título inglés |
On approximation and interpolation of entire functions with index-pair (p,q). |
Título español |
Aproximación e interpolación de funciones enteras con índice-par (p,q). |
Autor/es |
Kasana, H. S. ; Kumar, Devendra |
Organización |
Dep. Math. Birla Inst. Technol. Sci. , Rajasthan, India;Dep. Math. D.S.M. Deg. Coll., Moradabad, India |
Revista |
0214-1493 |
Publicación |
1994, 38 (2): 255-267, 13 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
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 Î 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. |
Clasificación UNESCO |
120202 |
Palabras clave español |
Función entera ; Aproximación polinómica ; Interpolación |
Código MathReviews |
MR1316627 |
Acceso al artículo completo |