Uniform polynomial approximation and generalized growth of entire functions on arbitrary compact sets

For arbitrary compact set K ⊂ C, we consider the uniform polynomial approximation error En(f, K) of an entire function f and relate it to the generalized order, generalized lower order and generalized type of f. 2000 Mathematics Subject Classification: 30D15. Key words and phrases: Approximation, En...

Full description

Saved in:
Bibliographic Details
Published inBulletin of the Belgian Mathematical Society, Simon Stevin Vol. 16; no. 2; pp. 265 - 276
Main Author Srivastava, G.S.
Format Journal Article
LanguageEnglish
Published Belgian Mathematical Society 01.05.2009
The Belgian Mathematical Society
Subjects
30D15
Analysis
Approximation
Approximation theory
Distributions, Theory of (Functional analysis)
Entire Function
Generalized Order
Generalized Type
Order
Polynomials
Type
India
Online AccessGet full text
ISSN1370-1444
2034-1970
DOI10.36045/bbms/1244038138

Cover

More Information
Summary:For arbitrary compact set K ⊂ C, we consider the uniform polynomial approximation error En(f, K) of an entire function f and relate it to the generalized order, generalized lower order and generalized type of f. 2000 Mathematics Subject Classification: 30D15. Key words and phrases: Approximation, Entire Function, Order, Type, Generalized Order, Generalized Type.
ISSN:1370-1444
2034-1970
DOI:10.36045/bbms/1244038138