UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS

doi:10.1016/S0252-9602(12)60188-X

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (6): 2401-2410.doi: 10.1016/S0252-9602(12)60188-X

UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS

G. S. Srivastava¹|S. Kumar²

1.Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India； 2.Department of Mathematics, Central University of Himachal Pradesh, Dharamshala-176215, India

收稿日期:2012-12-29 出版日期:2012-11-20 发布日期:2012-11-20

UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS

G. S. Srivastava¹|S. Kumar²

1.Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India； 2.Department of Mathematics, Central University of Himachal Pradesh, Dharamshala-176215, India

Received:2012-12-29 Online:2012-11-20 Published:2012-11-20

摘要/Abstract

摘要：

In the present paper, we study the polynomial approximation of entire func-tions of several complex variables. The characterizations of generalized order and gener-alized type of entire functions of slow growth are obtained in terms of approximation and interpolation errors.

关键词: entire function, generalized order, generalized type, approximation errors, interpolation errors

Abstract:

Key words: entire function, generalized order, generalized type, approximation errors, interpolation errors

中图分类号:

30B10

G. S. Srivastava, S. Kumar. UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS[J]. 数学物理学报(英文版), 2012, 32(6): 2401-2410.

G. S. Srivastava, S. Kumar. UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS[J]. Acta mathematica scientia,Series B, 2012, 32(6): 2401-2410.

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UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS

UNIFORM APPROXIMATION OF ENTIRE FUNCTIONS OF SLOW GROWTH ON COMPACT SETS

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