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

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MR Zbl
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.
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 
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
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