Asymptotic Inequalities Related to the Maximum Modulus of a Polynomial
نویسندگان
چکیده
منابع مشابه
extensions of some polynomial inequalities to the polar derivative
توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولInequalities for the Maximum Modulus of the Derivative of a Polynomial
Let P (z) be a polynomial of degree n and M(P, t) = Max|z|=t |P (z)|. In this paper we shall estimate M(P ′ , ρ) in terms of M(P, r) where P (z) does not vanish in the disk |z| ≤ K, K ≥ 1, 0 ≤ r < ρ < K and obtain an interesting refinement of some result of Dewan and Malik. We shall also obtain an interesting generalization as well as a refinement of well-known result of P. Turan for polynomial...
متن کاملOn the maximum modulus of a polynomial and its derivatives
Let f (z) be an arbitrary entire function and M(f ,r) = max |z|=r | f (z)|. For a polynomial P(z) of degree n, having no zeros in |z| < k, k ≥ 1, Bidkham and Dewan (1992) proved max |z|=r |P (z)| ≤ (n(r + k) n−1 /(1 + k) n)max |z|=1 |P(z)| for 1 ≤ r ≤ k. In this paper, we generalize as well as improve upon the above inequality.
متن کاملCalculating the Maximum Modulus of a Polynomial Using Stečkin’s Lemma
An algorithm for the calculation of the maximum modulus of a complex polynomial on the unit disc is described and evaluated. The algorithm is based on a lemma of Stečkin.
متن کاملfrom linguistics to literature: a linguistic approach to the study of linguistic deviations in the turkish divan of shahriar
chapter i provides an overview of structural linguistics and touches upon the saussurean dichotomies with the final goal of exploring their relevance to the stylistic studies of literature. to provide evidence for the singificance of the study, chapter ii deals with the controversial issue of linguistics and literature, and presents opposing views which, at the same time, have been central to t...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Zeitschrift für Analysis und ihre Anwendungen
سال: 1996
ISSN: 0232-2064
DOI: 10.4171/zaa/726