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We obtain extremal majorants and minorants of exponential type for a class of even functions on $\R$ which includes $\log |x|$ and $|x|^\alpha$, where $-1 < \alpha < 1$.
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M. Lerma, · 1998
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Some trigonometric extremal functions and the Erdös-Turán type inequalities,
X. J. Li and J. D. Vaaler, · 1999
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J. T. Barton, H. L. Montgomery, and J. D. Vaaler, · 2000
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Entire approximations to the truncated powers,
F. Littmann, · 2005
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H. L. Montgomery, · 1994
Cited alongside, same era.