Norm inequalities for a certain class of ∞ functions
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In 1936 the author showed that the function sin(π(x+1)/4) is the entire function of least exponential type (=π/4) among all entire functionsf(z) with the property thatf(n)(z) vanishes somewhere in the real interval [−1, 1] (n=0, 1,2,…). Now more precise results of this kind are obtained by working within the class ∞[−1, 1].
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- 4.J. M. Whittaker,Interpolatory function theory, Cambridge University Press, 1935.Google Scholar