J Austral Math Soc Ser A 58 pp15--26, 1995.

Inequalities and Representation Formulas for Functions of Exponential Type

C. Frappier and P. Oliver

(Received 20 February; revised 20 January 1992)

Abstract

We generalise the classical Bernstein's inequality: |f¢(t)| £ t sup-¥ < u < ¥|f(u)|, -¥ < t < +¥. Moreover we obtain a new representation formula for entire functions of exponential type.

1991 AMS Subject Classification: primary 41A05, 41A17; secondary 30D10

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Authors

C. Frappier
P. Oliver
Departement de Mathematiques Appliqees, Ecole Polytechnique de Montreal, Campus de l'Universite de Montreal, C.P. 6079, Succursale Centre-ville, Montreal (Quebec) H3C 3A7, Canada.

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