Remarks on the Obrechkoff inequality
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🧮 math.CV
keywords
inequalityanglecasecoefficientsdegreeequalitygeneralizeimprove
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Oberchkoff's inequality says that a polynomial of degree d with non-negative coefficients has at most 2ad/pi zeros in the angle {|arg z|<a}. We improve and generalize this inequality, and study the case of equality.
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