INEQUALITIES AND REPRESENTATION FORMULAS FOR FUNCTIONS OF EXPONENTIAL-TYPE

Authors
FRAPPIER C OLIVIER P
Citation
C. Frappier et P. Olivier, INEQUALITIES AND REPRESENTATION FORMULAS FOR FUNCTIONS OF EXPONENTIAL-TYPE, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 58, 1995, pp. 15-26
Citations number
10
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
58
Year of publication
1995
Part
1
Pages
15 - 26
Database
ISI
SICI code
0263-6115(1995)58:<15:IARFFF>2.0.ZU;2-B
Abstract
We generalise the classical Bernstein's inequality: \f'(t)\ less than or equal to tau sup(-infinity<u infinity) \f(u)\, -infinity < t < + in finity. Moreover we obtain a new representation formula for entire fun ctions of exponential type.