Bernstein Type Inequalities Concerning Growth of Polynomials

N. K. Govil () and Eze R. Nwaeze ()
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N. K. Govil: Auburn University
Eze R. Nwaeze: Auburn University

A chapter in Mathematical Analysis, Approximation Theory and Their Applications, 2016, pp 293-316 from Springer

Abstract: Abstract Let p ( z ) = a 0 + a 1 z + a 2 z 2 + a 3 z 3 + ⋯ + a n z n $$p(z) = a_{0} + a_{1}z + a_{2}z^{2} + a_{3}z^{3} + \cdots + a_{n}z^{n}$$ be a polynomial of degree n, where the coefficients a j , for 0 ≤ j ≤ n, may be complex, and p(z) ≠ 0 for | z |

Keywords: Maximum modulus; Complex polynomials; Restricted zeros; Inequalities; Growth (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-31281-1_13

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