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Under some constraints on the critical values of an algebraic polynomial with complex coefficients, a sharp inequality for the product of certain powers of moduli of its derivative at its… Click to show full abstract
Under some constraints on the critical values of an algebraic polynomial with complex coefficients, a sharp inequality for the product of certain powers of moduli of its derivative at its zeros is established. The equality is attained for a suitable Chebyshev polynomial of the first kind.
Keywords:
critical values;
moduli derivative;
complex polynomial;
values moduli;
derivative complex
Journal Title: Journal of Mathematical Sciences
Year Published: 2017
Link to full text (if available)
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Journal Title: Journal of Mathematical Sciences
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!