INEQUALITIES AND REPRESENTATION FORMULAS FOR FUNCTIONS OF EXPONENTIAL-TYPE

被引：0

作者：

FRAPPIER, C

OLIVIER, P

机构：

[1] Département de Mathématiques Appliquées, École Polytechnique de Montreal, Campus de l'Université de Montréal, Montréal (Quebec) H3C 3A7, C.P. 6079, Succursale Centre-ville

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1995年 / 58卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

BERNSTEINS INEQUALITY; ENTIRE FUNCTIONS; INTERPOLATION POINTS; APPROXIMATION;

D O I：

10.1017/S1446788700038052

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalise the classical Bernstein's inequality: \f'(t)\ less than or equal to tau sup(-infinity<u infinity) \f(u)\, -infinity < t < + infinity. Moreover we obtain a new representation formula for entire functions of exponential type.

引用

页码：15 / 26

页数：12

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