Summary
We give a generalization of Jensen's Inequality, valid for polynomials having some concentration at low degrees. We investigate the constants involved, both from a theoretical and a numerical point of view.
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Reference
Beauzamy, B., Enflo, P.: Estimations de produits de polynômes. J. Number Theory21, 390–412
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Beauzamy, B. Jensen's Inequality for polynomials with concentration at low degrees. Numer. Math. 49, 221–225 (1986). https://doi.org/10.1007/BF01389625
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DOI: https://doi.org/10.1007/BF01389625