Bernstein Inequality for the Riesz Derivative of Order $0<\alpha<1$ of Entire Functions of Exponential Type in the Uniform Norm

We consider Bernstein's inequality for the Riesz derivative of order $0<\alpha<1$ of entire functions of exponential type in the uniform norm on the real line. For this operator, the corresponding interpolation formula is obtained; this formula has nonequidistant nodes. Using this formula, the sharp Bernstein inequality is obtained for all $0<\alpha<1$; namely, the extremal entire function and the sharp constant are written out.