Abstract
We consider Bernstein inequality for the Riesz derivative of order \(0 \alpha 1\) of entire functions of exponential type in the uniform norm on the real line. The interpolation formula for this operator is obtained; this formula has non-equidistant nodes. By means of this formula, the sharp Bernstein inequality is obtained for all \(0 \alpha 1\), more precisely, the extremal entire function and the exact constant are written out.
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