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The Maximum Modulus Set of a Polynomial [PDF]
Computational Methods and Function Theory, 2022 We study the maximum modulus set, M(p), of a polynomial p. We are interested in constructing p so that M(p) has certain exceptional features. Jassim and London gave a cubic polynomial p such that M(p) has one discontinuity, and Tyler found a quintic ...
Pardo-Simón, Leticia +1 more
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On the maximum modulus of polynomials [PDF]
Proceedings of the American Mathematical Society, 1992 The maximum modulus on | z | r > 1 |z|r > 1 of a polynomial of degree n n not vanishing in | z
M. A. Qazi
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Maximum modulus algebras and analytic varieties [PDF]
Proceedings of the American Mathematical Society, 1991 Let A A be a maximum modulus algebra on X X , and V V a maximal open subset of X X such that V V has the structure of one-dimensional variety on which functions from
Donna Kumagai, Zbigniew Slodkowski
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The maximum modulus principle for CR functions [PDF]
Proceedings of the American Mathematical Society, 1986 Let M M be a CR submanifold of C n {{\mathbf {C}}^n} without extreme points. Then, the modulus of any CR function on M M
Andrei Iordan
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On the maximum modulus of a polynomial and its derivatives [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 Let f(z) be an arbitrary entire function and M(f,r)=max|z|=r|f(z)|. For a polynomial P(z), having no zeros in |z|
K. K. Dewan, Abdullah Mir
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An analysis of the elastic properties of a porous aluminium oxide film by means of indentation techniques [PDF]
, 2013 The elastic modulus of thin films can be directly determined by instrumented indentation when the indenter penetration does not exceed a fraction of the film thickness, depending on the mechanical properties of both film and substrate.
LOUIS, G. +15 more
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On the Maximum Modulus of Polynomials
Journal of Mathematical Analysis and Applications, 1994 The following refinement involving the first coefficients of one result of \textit{T. J. Rivlin} [Am. Math. Month. 67, 251-253 (1960)] is proved: if \(p(z)= \sum^ n_ 0 c_ k z^ k\) is a polynomial of degree \(n\), having no zeros in \(| z|< 1\) and \(| c_ 1|\leq \rho n| c_ 0|\), then for \(0\leq r\leq \rho\leq 1\), \[ M(p,r)\geq \left({1+ r\over 1+ \rho}
Dewan, K.K., Kaur, J.
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Vector subseries of maximum modulus [PDF]
Proceedings of the American Mathematical Society, 1951 This note extends to Euclidean n-space En for n ?2 and to the generalized Euclidean space E, certain investigations undertaken in [1]I with reference to E2. Among other things, we shall show that, given any absolutely convergent series ECk of elements in a Banach space, there is a subseries Ecj* of maximum modulus; that in En for n ?2 this maximum is ...
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Medicina, 2023 Background and Objective: Achilles tendon (AT) stiffness can reduce ankle dorsiflexion. However, whether AT stiffness affects the ankle dorsiflexion angle at a maximum squat depth remains unclear.
Hayato Miyasaka +3 more
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On the structure of maximum modulus algebras [PDF]
Proceedings of the American Mathematical Society, 1958 i.e., if every fER attains its maximum modulus on C. As a matter of convenience, we shall, in this paper, abbreviate "maximum modulus algebra on K" to "M-algebra." Examples of Al-algebras which come to mind immediately are (a) the algebra (a consisting of all functions which are continuous on K and analytic in U, (b) any subalgebra of (a, (c) any ...
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