A note on one of the Bernstein theorems
Mathematica Bohemica, Tome 118 (1993) no. 3, pp. 321-324.

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One of the Bernstein theorems that the class of bounded functions of the exponential type is dense in the space of bounded and uniformly continuous functions. This theorem follows from a convergence theorem for some interpolating operators on the real axis.
DOI : 10.21136/MB.1993.125930
Classification : 30D10, 41A05, 41A36
Keywords: Bernstein theorems; interpolating operators; Bernstein's inequality; function of exponential type; uniform norm; space of uniformly continuous functions
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Brabec, Jiří. A note on one of the Bernstein theorems. Mathematica Bohemica, Tome 118 (1993) no. 3, pp. 321-324. doi : 10.21136/MB.1993.125930. http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.125930/

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