Geodesic
Inequalities for Entire Functions of Exponential Type
Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 463-471

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Bernstein's inequality says that if f is an entire function of exponential type τ which is bounded on the real axis then Genchev has proved that if, in addition, hf (π/2) ≤0, where hf is the indicator function of f, then Using a method of approximation due to Lewitan, in a form given by Hörmander, we obtain, to begin, a generalization and a refinement of Genchev's result. Also, we extend to entire functions of exponential type two results first proved for polynomials by Rahman. Finally, we generalize a theorem of Boas concerning trigonometric polynomials vanishing at the origin.
DOI : 10.4153/CMB-1984-073-4
Mots-clés : 30D15 
Frappier, Clément. Inequalities for Entire Functions of Exponential Type. Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 463-471. doi: 10.4153/CMB-1984-073-4
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     title = {Inequalities for {Entire} {Functions} of {Exponential} {Type}},
     journal = {Canadian mathematical bulletin},
     pages = {463--471},
     year = {1984},
     volume = {27},
     number = {4},
     doi = {10.4153/CMB-1984-073-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-073-4/}
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