An improvement and a generalization of Ankeny and Rivlin’s result on the maximum modulus of polynomials
Künye
Ngamchui, R., Laishangbam, R., Chanam, B. & Thoudam, R. (2025). An improvement and a generalization of Ankeny and Rivlin’s result on the maximum modulus of polynomials. TWMS Journal of Applied and Engineering Mathematics, 15(7), 1852-1863.Özet
For an arbitrary entire function f(z), let M(f, r) = max|z|=r|f(z)|. By considering the polynomial of degree n having no zero in the interior of the unit circle|z| = 1, Ankeny and Rivlin obtained M(p, R) ≤ Rn + 1/2 M(p, 1), R ≥ 1. In this paper, we consider the polynomial of degree n having no zero in |z| < k, k ≥ 1 and simultaneously considering the sᵗʰ derivative, 0 ≤ s < n, of the polynomial, we have obtained an improvement as well as a generalization of Ankeny and Rivlin’s result.
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15Sayı
7Bağlantı
https://jaem.isikun.edu.tr/web/index.php/current/133-vol15no7/1453http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6934
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