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A note on one of the Bernstein theorems. (English) Zbl 0783.41001
Summary: One of the Bernstein theorems asserts that the class of bounded functions of the exponential type is dense in a space of bounded and uniformly continuous functions. This theorem follows from a convergence theorem for some interpolating operators on the real axis.
MSC:
41A05 Interpolation in approximation theory
41A36 Approximation by positive operators
30D10 Representations of entire functions of one complex variable by series and integrals
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